77264541225 has 189 divisors, whose sum is σ = 150895331509. Its totient is φ = 39226420800.

The previous prime is 77264541199. The next prime is 77264541247. The reversal of 77264541225 is 52214546277.

The square root of 77264541225 is 277965.

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

77264541225 is a `hidden beast` number, since 7 + 72 + 6 + 454 + 122 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1062042921 + 76202498304 = 32589^2 + 276048^2 .

It is not a de Polignac number, because 77264541225 - 2¹⁵ = 77264508457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1088232940 + ... + 1088233010.

Almost surely, 2^77264541225 is an apocalyptic number.

77264541225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77264541225 is the 277965-th square number.

77264541225 is the 138983-rd centered octagonal number.

It is an amenable number.

77264541225 is a deficient number, since it is larger than the sum of its proper divisors (73630790284).

77264541225 is an frugal number, since it uses more digits than its factorization.

77264541225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 108 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 77264541225 in words is "seventy-seven billion, two hundred sixty-four million, five hundred forty-one thousand, two hundred twenty-five".