76991904 has 96 divisors (see below), whose sum is σ = 245004480. Its totient is φ = 23328000.

The previous prime is 76991869. The next prime is 76991921. The reversal of 76991904 is 40919967.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 76991904.

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, 5454 + ... + 13554.

It is an arithmetic number, because the mean of its divisors is an integer number (2552130).

Almost surely, 2^76991904 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 76991904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122502240).

76991904 is an abundant number, since it is smaller than the sum of its proper divisors (168012576).

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

76991904 is a wasteful number, since it uses less digits than its factorization.

76991904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 76991904 is about 8774.5030628520. The cubic root of 76991904 is about 425.4171756072.

The spelling of 76991904 in words is "seventy-six million, nine hundred ninety-one thousand, nine hundred four".