76085388 has 36 divisors (see below), whose sum is σ = 194496120. Its totient is φ = 25075776.

The previous prime is 76085363. The next prime is 76085407. The reversal of 76085388 is 88358067.

76085388 is a `hidden beast` number, since 7 + 608 + 5 + 38 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×76085388² = 11577972534221088, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8670 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (5402670).

Almost surely, 2^76085388 is an apocalyptic number.

It is an amenable number.

76085388 is an abundant number, since it is smaller than the sum of its proper divisors (118410732).

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

76085388 is a wasteful number, since it uses less digits than its factorization.

76085388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23846 (or 23841 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 76085388 is about 8722.6938499525. The cubic root of 76085388 is about 423.7409343611.

It can be divided in two parts, 7608 and 5388, that added together give a square (12996 = 114²).

The spelling of 76085388 in words is "seventy-six million, eighty-five thousand, three hundred eighty-eight".