77513841 has 48 divisors (see below), whose sum is σ = 123341120. Its totient is φ = 48691368.

The previous prime is 77513837. The next prime is 77513851. The reversal of 77513841 is 14831577.

It is not a de Polignac number, because 77513841 - 2² = 77513837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77513796 and 77513805.

It is not an unprimeable number, because it can be changed into a prime (77513801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156890 + ... + 1156956.

Almost surely, 2^77513841 is an apocalyptic number.

It is an amenable number.

77513841 is a deficient number, since it is larger than the sum of its proper divisors (45827279).

77513841 is an frugal number, since it uses more digits than its factorization.

77513841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 77513841 is about 8804.1945117086. The cubic root of 77513841 is about 426.3763288295.

The spelling of 77513841 in words is "seventy-seven million, five hundred thirteen thousand, eight hundred forty-one".