76692096 has 160 divisors (see below), whose sum is σ = 246222900. Its totient is φ = 23556096.

The previous prime is 76692079. The next prime is 76692131. The reversal of 76692096 is 69029667.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 10497600 = 8136^2 + 3240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134500 + ... + 135068.

Almost surely, 2^76692096 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 76692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123111450).

76692096 is an abundant number, since it is smaller than the sum of its proper divisors (169530804).

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

76692096 is a wasteful number, since it uses less digits than its factorization.

76692096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 76692096 is about 8757.4023545798. The cubic root of 76692096 is about 424.8642629965.

The spelling of 76692096 in words is "seventy-six million, six hundred ninety-two thousand, ninety-six".