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78970320 = 243251113259
BaseRepresentation
bin1001011010011…
…11110111010000
312111121002220200
410231033313100
5130204022240
611500335200
71646144112
oct455176720
9174532820
1078970320
1140638630
1222544500
131348c800
14a6b93b2
156ded930
hex4b4fdd0

78970320 has 360 divisors, whose sum is σ = 318595680. Its totient is φ = 17372160.

The previous prime is 78970313. The next prime is 78970351. The reversal of 78970320 is 2307987.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×789703202 = 12472622881804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338451 + ... + 1338509.

It is an arithmetic number, because the mean of its divisors is an integer number (884988).

Almost surely, 278970320 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 78970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297840).

78970320 is an abundant number, since it is smaller than the sum of its proper divisors (239625360).

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

78970320 is a wasteful number, since it uses less digits than its factorization.

78970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 78970320 is about 8886.5246300227. The cubic root of 78970320 is about 429.0303008901.

The spelling of 78970320 in words is "seventy-eight million, nine hundred seventy thousand, three hundred twenty".