76964992 has 64 divisors (see below), whose sum is σ = 172388160. Its totient is φ = 33960960.

The previous prime is 76964983. The next prime is 76965013. The reversal of 76964992 is 29946967.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 37267 + ... + 39277.

It is an arithmetic number, because the mean of its divisors is an integer number (2693565).

Almost surely, 2^76964992 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 76964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86194080).

76964992 is an abundant number, since it is smaller than the sum of its proper divisors (95423168).

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

76964992 is a wasteful number, since it uses less digits than its factorization.

76964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2049 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 52.

The square root of 76964992 is about 8772.9693946805. The cubic root of 76964992 is about 425.3676025974.

The spelling of 76964992 in words is "seventy-six million, nine hundred sixty-four thousand, nine hundred ninety-two".