77311377 has 72 divisors (see below), whose sum is σ = 136328192. Its totient is φ = 41912640.

The previous prime is 77311357. The next prime is 77311397.

77311377 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (77311357) and next prime (77311397).

It is not a de Polignac number, because 77311377 - 2¹¹ = 77309329 is a prime.

It is a super-2 number, since 2×77311377² = 11954098027272258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77311327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 608688 + ... + 608814.

Almost surely, 2^77311377 is an apocalyptic number.

It is an amenable number.

77311377 is a deficient number, since it is larger than the sum of its proper divisors (59016815).

77311377 is a wasteful number, since it uses less digits than its factorization.

77311377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its digits is 21609, while the sum is 36.

The square root of 77311377 is about 8792.6888378925. The cubic root of 77311377 is about 426.0047774377.

The spelling of 77311377 in words is "seventy-seven million, three hundred eleven thousand, three hundred seventy-seven".