76200882912000 has 1728 divisors, whose sum is σ = 346672981444608. Its totient is φ = 15610613760000.

The previous prime is 76200882911957. The next prime is 76200882912023. The reversal of 76200882912000 is 21928800267.

76200882912000 is a `hidden beast` number, since 7 + 620 + 0 + 8 + 8 + 2 + 9 + 12 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1574471802 + ... + 1574520198.

It is an arithmetic number, because the mean of its divisors is an integer number (200620938336).

Almost surely, 2^{76200882912000} is an apocalyptic number.

76200882912000 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 76200882912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173336490722304).

76200882912000 is an abundant number, since it is smaller than the sum of its proper divisors (270472098532608).

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

76200882912000 is a wasteful number, since it uses less digits than its factorization.

76200882912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48523 (or 48496 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 76200882912000 in words is "seventy-six trillion, two hundred billion, eight hundred eighty-two million, nine hundred twelve thousand".