75969140625 has 225 divisors, whose sum is σ = 165488684801. Its totient is φ = 34728750000.

The previous prime is 75969140603. The next prime is 75969140651. The reversal of 75969140625 is 52604196957.

The square root of 75969140625 is 275625.

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

75969140625 is a `hidden beast` number, since 7 + 5 + 9 + 6 + 9 + 1 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54013013649 + 21956126976 = 232407^2 + 148176^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 75969140625 - 2²³ = 75960752017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 10852734372 + ... + 10852734378.

Almost surely, 2^75969140625 is an apocalyptic number.

75969140625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75969140625 is the 275625-th square number.

75969140625 is the 137813-rd centered octagonal number.

It is an amenable number.

75969140625 is an abundant number, since it is smaller than the sum of its proper divisors (89519544176).

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

75969140625 is an frugal number, since it uses more digits than its factorization.

75969140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 75969140625 in words is "seventy-five billion, nine hundred sixty-nine million, one hundred forty thousand, six hundred twenty-five".