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76997088 = 2533729439
BaseRepresentation
bin1001001011011…
…10000111100000
312100212212011000
410211232013200
5124202401323
611350152000
71623315210
oct445560740
9170785130
1076997088
113a510063
1221952600
1312c4b60c
14a324240
156b5de43
hex496e1e0

76997088 has 192 divisors, whose sum is σ = 266112000. Its totient is φ = 21192192.

The previous prime is 76997071. The next prime is 76997119. The reversal of 76997088 is 88079967.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175173 + ... + 175611.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 276997088 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 76997088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

76997088 is an abundant number, since it is smaller than the sum of its proper divisors (189114912).

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

76997088 is a wasteful number, since it uses less digits than its factorization.

76997088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 76997088 is about 8774.7984592240. The cubic root of 76997088 is about 425.4267234212.

The spelling of 76997088 in words is "seventy-six million, nine hundred ninety-seven thousand, eighty-eight".