76691520 has 168 divisors, whose sum is σ = 272613120. Its totient is φ = 19768320.

The previous prime is 76691519. The next prime is 76691521. The reversal of 76691520 is 2519667.

76691520 is a `hidden beast` number, since 76 + 69 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (76691519) and next prime (76691521).

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 not an unprimeable number, because it can be changed into a prime (76691521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88851 + ... + 89709.

Almost surely, 2^76691520 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 76691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136306560).

76691520 is an abundant number, since it is smaller than the sum of its proper divisors (195921600).

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

76691520 is a wasteful number, since it uses less digits than its factorization.

76691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 76691520 is about 8757.3694680537. The cubic root of 76691520 is about 424.8631993387.

The spelling of 76691520 in words is "seventy-six million, six hundred ninety-one thousand, five hundred twenty".