77464 has 16 divisors (see below), whose sum is σ = 151920. Its totient is φ = 36960.

The previous prime is 77447. The next prime is 77471. The reversal of 77464 is 46477.

It is a d-powerful number, because it can be written as 7 + 7² + 4⁶ + 6⁵ + 4⁸ .

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (9495).

2⁷⁷⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

77464 is a deficient number, since it is larger than the sum of its proper divisors (74456).

77464 is a wasteful number, since it uses less digits than its factorization.

77464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 77464 is about 278.3235527224. The cubic root of 77464 is about 42.6284923309.

It can be divided in two parts, 7746 and 4, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 77464 in words is "seventy-seven thousand, four hundred sixty-four".