76386992 has 80 divisors (see below), whose sum is σ = 173560320. Its totient is φ = 32198400.

The previous prime is 76386991. The next prime is 76387021. The reversal of 76386992 is 29968367.

It is a self number, because there is not a number n which added to its sum of digits gives 76386992.

It is not an unprimeable number, because it can be changed into a prime (76386991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177017 + ... + 177447.

It is an arithmetic number, because the mean of its divisors is an integer number (2169504).

Almost surely, 2^76386992 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 76386992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780160).

76386992 is an abundant number, since it is smaller than the sum of its proper divisors (97173328).

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

76386992 is a wasteful number, since it uses less digits than its factorization.

76386992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 76386992 is about 8739.9652173221. The cubic root of 76386992 is about 424.3001020068.

The spelling of 76386992 in words is "seventy-six million, three hundred eighty-six thousand, nine hundred ninety-two".