76400896 has 72 divisors (see below), whose sum is σ = 179250624. Its totient is φ = 32040960.

The previous prime is 76400887. The next prime is 76400911. The reversal of 76400896 is 69800467.

It is a zygodrome in base 8.

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, 35565 + ... + 37651.

It is an arithmetic number, because the mean of its divisors is an integer number (2489592).

Almost surely, 2^76400896 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 76400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89625312).

76400896 is an abundant number, since it is smaller than the sum of its proper divisors (102849728).

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

76400896 is a wasteful number, since it uses less digits than its factorization.

76400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 76400896 is about 8740.7606076359. The cubic root of 76400896 is about 424.3258442200.

The spelling of 76400896 in words is "seventy-six million, four hundred thousand, eight hundred ninety-six".