75968970 has 64 divisors (see below), whose sum is σ = 227321856. Its totient is φ = 15785280.

The previous prime is 75968969. The next prime is 75969013. The reversal of 75968970 is 7986957.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14134 + ... + 18753.

It is an arithmetic number, because the mean of its divisors is an integer number (3551904).

Almost surely, 2^75968970 is an apocalyptic number.

75968970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75968970 is an abundant number, since it is smaller than the sum of its proper divisors (151352886).

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

75968970 is a wasteful number, since it uses less digits than its factorization.

75968970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32915.

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 75968970 is about 8716.0180128313. The cubic root of 75968970 is about 423.5247025053.

The spelling of 75968970 in words is "seventy-five million, nine hundred sixty-eight thousand, nine hundred seventy".