76085640 has 48 divisors (see below), whose sum is σ = 247279500. Its totient is φ = 20289408.

The previous prime is 76085599. The next prime is 76085651. The reversal of 76085640 is 4658067.

It is a happy number.

76085640 is a `hidden beast` number, since 7 + 6 + 0 + 8 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72692676 + 3392964 = 8526^2 + 1842^2 .

It is a super-2 number, since 2×76085640² = 11578049228419200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 76085595 and 76085604.

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, 105315 + ... + 106034.

Almost surely, 2^76085640 is an apocalyptic number.

It is an amenable number.

76085640 is an abundant number, since it is smaller than the sum of its proper divisors (171193860).

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

76085640 is a wasteful number, since it uses less digits than its factorization.

76085640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211366 (or 211359 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76085640 is about 8722.7082950194. The cubic root of 76085640 is about 423.7414021802.

The spelling of 76085640 in words is "seventy-six million, eighty-five thousand, six hundred forty".