77513427 has 12 divisors (see below), whose sum is σ = 116832144. Its totient is φ = 49428720.

The previous prime is 77513419. The next prime is 77513437. The reversal of 77513427 is 72431577.

It is not a de Polignac number, because 77513427 - 2³ = 77513419 is a prime.

It is a Smith number, since the sum of its digits (36) 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 = 77513391 and 77513400.

It is not an unprimeable number, because it can be changed into a prime (77513437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187024 + ... + 187437.

It is an arithmetic number, because the mean of its divisors is an integer number (9736012).

Almost surely, 2^77513427 is an apocalyptic number.

77513427 is a deficient number, since it is larger than the sum of its proper divisors (39318717).

77513427 is a wasteful number, since it uses less digits than its factorization.

77513427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374490 (or 374487 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 77513427 is about 8804.1710001567. The cubic root of 77513427 is about 426.3755697388.

The spelling of 77513427 in words is "seventy-seven million, five hundred thirteen thousand, four hundred twenty-seven".