76736385 has 72 divisors (see below), whose sum is σ = 154987560. Its totient is φ = 34974720.

The previous prime is 76736369. The next prime is 76736389. The reversal of 76736385 is 58363767.

76736385 is a `hidden beast` number, since 7 + 6 + 7 + 3 + 638 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18122049 + 58614336 = 4257^2 + 7656^2 .

It is not a de Polignac number, because 76736385 - 2⁴ = 76736369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 76736385.

It is not an unprimeable number, because it can be changed into a prime (76736389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92151 + ... + 92979.

It is an arithmetic number, because the mean of its divisors is an integer number (2152605).

Almost surely, 2^76736385 is an apocalyptic number.

It is an amenable number.

76736385 is an abundant number, since it is smaller than the sum of its proper divisors (78251175).

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

76736385 is a wasteful number, since it uses less digits than its factorization.

76736385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 76736385 is about 8759.9306504104. The cubic root of 76736385 is about 424.9460323630.

The spelling of 76736385 in words is "seventy-six million, seven hundred thirty-six thousand, three hundred eighty-five".