76355505625 has 45 divisors (see below), whose sum is σ = 111061946457. Its totient is φ = 52324902000.

The previous prime is 76355505571. The next prime is 76355505631. The reversal of 76355505625 is 52650555367.

The square root of 76355505625 is 276325.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5986271641 + 70369233984 = 77371^2 + 265272^2 .

It is not a de Polignac number, because 76355505625 - 2⁷ = 76355505497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48356086 + ... + 48357664.

Almost surely, 2^76355505625 is an apocalyptic number.

76355505625 is the 276325-th square number.

76355505625 is the 138163-rd centered octagonal number.

It is an amenable number.

76355505625 is a deficient number, since it is larger than the sum of its proper divisors (34706440832).

76355505625 is an frugal number, since it uses more digits than its factorization.

76355505625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 49.

Multiplying 76355505625 by its sum of digits (49), we get a square (3741419775625 = 1934275²).

76355505625 divided by its sum of digits (49) gives a square (1558275625 = 39475²).

The spelling of 76355505625 in words is "seventy-six billion, three hundred fifty-five million, five hundred five thousand, six hundred twenty-five".