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76080320 = 2652310337
BaseRepresentation
bin1001000100011…
…10010011000000
312022011021120122
410202032103000
5123434032240
611314355412
71612446341
oct442162300
9168137518
1076080320
1139a442a8
122158bb68
13129ba254
14a1660c8
156a2c4b5
hex488e4c0

76080320 has 56 divisors (see below), whose sum is σ = 189061344. Its totient is φ = 29106176.

The previous prime is 76080307. The next prime is 76080331. The reversal of 76080320 is 2308067.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76080320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2192 + ... + 12528.

Almost surely, 276080320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94530672).

76080320 is an abundant number, since it is smaller than the sum of its proper divisors (112981024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76080320 is a wasteful number, since it uses less digits than its factorization.

76080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 76080320 is about 8722.4033385300. The cubic root of 76080320 is about 423.7315257795.

Adding to 76080320 its reverse (2308067), we get a palindrome (78388387).

The spelling of 76080320 in words is "seventy-six million, eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 10337 20674 41348 51685 82696 103370 165392 206740 237751 330784 413480 475502 661568 826960 951004 1188755 1653920 1902008 2377510 3307840 3804016 4755020 7608032 9510040 15216064 19020080 38040160 76080320