75976992000 has 1296 divisors, whose sum is σ = 339842700288. Its totient is φ = 15958425600.

The previous prime is 75976991977. The next prime is 75976992011. The reversal of 75976992000 is 29967957.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340703889 + ... + 340704111.

Almost surely, 2^75976992000 is an apocalyptic number.

75976992000 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 75976992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169921350144).

75976992000 is an abundant number, since it is smaller than the sum of its proper divisors (263865708288).

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

75976992000 is a wasteful number, since it uses less digits than its factorization.

75976992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 75976992000 in words is "seventy-five billion, nine hundred seventy-six million, nine hundred ninety-two thousand".