77290464 has 24 divisors (see below), whose sum is σ = 202887720. Its totient is φ = 25763456.

The previous prime is 77290441. The next prime is 77290469. The reversal of 77290464 is 46409277.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77290469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 402459 + ... + 402650.

It is an arithmetic number, because the mean of its divisors is an integer number (8453655).

Almost surely, 2^77290464 is an apocalyptic number.

It is an amenable number.

77290464 is an abundant number, since it is smaller than the sum of its proper divisors (125597256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77290464 is a wasteful number, since it uses less digits than its factorization.

77290464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805122 (or 805114 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 77290464 is about 8791.4995307968. The cubic root of 77290464 is about 425.9663620423.

It can be divided in two parts, 7 and 7290464, that added together give a triangular number (7290471 = T₃₈₁₈).

The spelling of 77290464 in words is "seventy-seven million, two hundred ninety thousand, four hundred sixty-four".