76431096 has 96 divisors (see below), whose sum is σ = 238492800. Its totient is φ = 21660480.

The previous prime is 76431083. The next prime is 76431107. The reversal of 76431096 is 69013467.

76431096 is a `hidden beast` number, since 7 + 643 + 1 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×76431096² = 11683424871522432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76431096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69511 + ... + 70601.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 2^76431096 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 76431096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119246400).

76431096 is an abundant number, since it is smaller than the sum of its proper divisors (162061704).

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

76431096 is a wasteful number, since it uses less digits than its factorization.

76431096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 76431096 is about 8742.4879753992. The cubic root of 76431096 is about 424.3817464981.

The spelling of 76431096 in words is "seventy-six million, four hundred thirty-one thousand, ninety-six".