77000625 has 105 divisors (see below), whose sum is σ = 156214839. Its totient is φ = 37908000.

The previous prime is 77000611. The next prime is 77000629. The reversal of 77000625 is 52600077.

The square root of 77000625 is 8775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 76055841 + 944784 = 8721^2 + 972^2 .

It is not a de Polignac number, because 77000625 - 2²¹ = 74903473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (77000629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 5923119 + ... + 5923131.

Almost surely, 2^77000625 is an apocalyptic number.

77000625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77000625 is the 8775-th square number.

77000625 is the 4388-th centered octagonal number.

It is an amenable number.

77000625 is an abundant number, since it is smaller than the sum of its proper divisors (79214214).

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

77000625 is an frugal number, since it uses more digits than its factorization.

77000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The cubic root of 77000625 is about 425.4332375692.

The spelling of 77000625 in words is "seventy-seven million, six hundred twenty-five", and thus it is an aban number.