75960082800 has 600 divisors, whose sum is σ = 322330932000. Its totient is φ = 16762152960.

The previous prime is 75960082769. The next prime is 75960082811. The reversal of 75960082800 is 828006957.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6571426 + ... + 6582974.

It is an arithmetic number, because the mean of its divisors is an integer number (537218220).

Almost surely, 2^75960082800 is an apocalyptic number.

75960082800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75960082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161165466000).

75960082800 is an abundant number, since it is smaller than the sum of its proper divisors (246370849200).

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

75960082800 is a wasteful number, since it uses less digits than its factorization.

75960082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11615 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 75960082800 in words is "seventy-five billion, nine hundred sixty million, eighty-two thousand, eight hundred".