75996770304 has 832 divisors, whose sum is σ = 271548032000. Its totient is φ = 18728091648.

The previous prime is 75996770299. The next prime is 75996770329. The reversal of 75996770304 is 40307769957.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041051612 + ... + 1041051684.

Almost surely, 2^75996770304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75996770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135774016000).

75996770304 is an abundant number, since it is smaller than the sum of its proper divisors (195551261696).

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

75996770304 is a wasteful number, since it uses less digits than its factorization.

75996770304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 57.

The spelling of 75996770304 in words is "seventy-five billion, nine hundred ninety-six million, seven hundred seventy thousand, three hundred four".