77112513 has 24 divisors (see below), whose sum is σ = 117164000. Its totient is φ = 50124960.

The previous prime is 77112487. The next prime is 77112521. The reversal of 77112513 is 31521177.

It is a happy number.

It is not a de Polignac number, because 77112513 - 2⁵ = 77112481 is a prime.

It is a super-2 number, since 2×77112513² = 11892679322350338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77112523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44538 + ... + 46236.

Almost surely, 2^77112513 is an apocalyptic number.

It is an amenable number.

77112513 is a deficient number, since it is larger than the sum of its proper divisors (40051487).

77112513 is a wasteful number, since it uses less digits than its factorization.

77112513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1743 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 77112513 is about 8781.3730703120. The cubic root of 77112513 is about 425.6392005586.

The spelling of 77112513 in words is "seventy-seven million, one hundred twelve thousand, five hundred thirteen".