75797964 has 48 divisors (see below), whose sum is σ = 214381440. Its totient is φ = 22968720.

The previous prime is 75797963. The next prime is 75797983. The reversal of 75797964 is 46979757.

It is a happy number.

75797964 is a `hidden beast` number, since 7 + 579 + 7 + 9 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75797964.

It is not an unprimeable number, because it can be changed into a prime (75797963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30714 + ... + 33089.

It is an arithmetic number, because the mean of its divisors is an integer number (4466280).

Almost surely, 2^75797964 is an apocalyptic number.

It is an amenable number.

75797964 is an abundant number, since it is smaller than the sum of its proper divisors (138583476).

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

75797964 is a wasteful number, since it uses less digits than its factorization.

75797964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63827 (or 63819 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 75797964 is about 8706.2026165258. The cubic root of 75797964 is about 423.2066793423.

The spelling of 75797964 in words is "seventy-five million, seven hundred ninety-seven thousand, nine hundred sixty-four".