77506164 has 18 divisors (see below), whose sum is σ = 195918450. Its totient is φ = 25835376.

The previous prime is 77506153. The next prime is 77506171. The reversal of 77506164 is 46160577.

It can be written as a sum of positive squares in only one way, i.e., 77264100 + 242064 = 8790^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2152949 = 77506164 / (7 + 7 + 5 + 0 + 6 + 1 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1076439 + ... + 1076510.

Almost surely, 2^77506164 is an apocalyptic number.

It is an amenable number.

77506164 is an abundant number, since it is smaller than the sum of its proper divisors (118412286).

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

77506164 is a wasteful number, since it uses less digits than its factorization.

77506164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152959 (or 2152954 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77506164 is about 8803.7585155432. The cubic root of 77506164 is about 426.3622522074.

The spelling of 77506164 in words is "seventy-seven million, five hundred six thousand, one hundred sixty-four".