76492962 has 192 divisors, whose sum is σ = 224550144. Its totient is φ = 18247680.

The previous prime is 76492961. The next prime is 76492967. The reversal of 76492962 is 26929467.

76492962 is a `hidden beast` number, since 76 + 492 + 96 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76492961) 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 95 ways as a sum of consecutive naturals, for example, 1141653 + ... + 1141719.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^76492962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76492962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

76492962 is an abundant number, since it is smaller than the sum of its proper divisors (148057182).

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

76492962 is a wasteful number, since it uses less digits than its factorization.

76492962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 76492962 is about 8746.0254973331. The cubic root of 76492962 is about 424.4962187562.

The spelling of 76492962 in words is "seventy-six million, four hundred ninety-two thousand, nine hundred sixty-two".