77528025 has 27 divisors (see below), whose sum is σ = 139098271. Its totient is φ = 41277840.

The previous prime is 77528023. The next prime is 77528053. The reversal of 77528025 is 52082577.

The square root of 77528025 is 8805.

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

It can be written as a sum of positive squares in only one way, i.e., 27910089 + 49617936 = 5283^2 + 7044^2 .

It is not a de Polignac number, because 77528025 - 2¹ = 77528023 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77528023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 131782 + ... + 132368.

Almost surely, 2^77528025 is an apocalyptic number.

77528025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77528025 is the 8805-th square number.

77528025 is the 4403-rd centered octagonal number.

It is an amenable number.

77528025 is a deficient number, since it is larger than the sum of its proper divisors (61570246).

77528025 is an equidigital number, since it uses as much as digits as its factorization.

77528025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The cubic root of 77528025 is about 426.4023343056.

Multiplying 77528025 by its sum of digits (36), we get a square (2791008900 = 52830²).

The spelling of 77528025 in words is "seventy-seven million, five hundred twenty-eight thousand, twenty-five".