76992160 has 48 divisors (see below), whose sum is σ = 207881856. Its totient is φ = 26396928.

The previous prime is 76992143. The next prime is 76992169. The reversal of 76992160 is 6129967.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (76992169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33252 + ... + 35491.

It is an arithmetic number, because the mean of its divisors is an integer number (4330872).

Almost surely, 2^76992160 is an apocalyptic number.

76992160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76992160 is an abundant number, since it is smaller than the sum of its proper divisors (130889696).

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

76992160 is a wasteful number, since it uses less digits than its factorization.

76992160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68765 (or 68757 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 76992160 is about 8774.5176505606. The cubic root of 76992160 is about 425.4176471142.

It can be divided in two parts, 769 and 92160, that added together give a palindrome (92929).

The spelling of 76992160 in words is "seventy-six million, nine hundred ninety-two thousand, one hundred sixty".