76912896 has 144 divisors (see below), whose sum is σ = 223401024. Its totient is φ = 23396352.

The previous prime is 76912889. The next prime is 76912919. The reversal of 76912896 is 69821967.

It is a super-2 number, since 2×76912896² = 11831187142213632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (326592) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561340 + ... + 561476.

It is an arithmetic number, because the mean of its divisors is an integer number (1551396).

Almost surely, 2^76912896 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 76912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111700512).

76912896 is an abundant number, since it is smaller than the sum of its proper divisors (146488128).

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

76912896 is a wasteful number, since it uses less digits than its factorization.

76912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 76912896 is about 8769.9997719498. Note that the first 3 decimals coincide. The cubic root of 76912896 is about 425.2716067781.

The spelling of 76912896 in words is "seventy-six million, nine hundred twelve thousand, eight hundred ninety-six".