77682440 has 32 divisors (see below), whose sum is σ = 190676160. Its totient is φ = 28248000.

The previous prime is 77682427. The next prime is 77682443. The reversal of 77682440 is 4428677.

It is a super-2 number, since 2×77682440² = 12069122968707200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77682394 and 77682403.

It is not an unprimeable number, because it can be changed into a prime (77682443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87836 + ... + 88715.

It is an arithmetic number, because the mean of its divisors is an integer number (5958630).

Almost surely, 2^77682440 is an apocalyptic number.

It is an amenable number.

77682440 is an abundant number, since it is smaller than the sum of its proper divisors (112993720).

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

77682440 is a wasteful number, since it uses less digits than its factorization.

77682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176573 (or 176569 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 77682440 is about 8813.7642355579. The cubic root of 77682440 is about 426.6852395344.

The spelling of 77682440 in words is "seventy-seven million, six hundred eighty-two thousand, four hundred forty".