76420938547200 has 1440 divisors, whose sum is σ = 277263889530880. Its totient is φ = 18460547481600.

The previous prime is 76420938547183. The next prime is 76420938547211. The reversal of 76420938547200 is 274583902467.

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 95 ways as a sum of consecutive naturals, for example, 281996083065 + ... + 281996083335.

Almost surely, 2^{76420938547200} 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 76420938547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138631944765440).

76420938547200 is an abundant number, since it is smaller than the sum of its proper divisors (200842950983680).

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

76420938547200 is a wasteful number, since it uses less digits than its factorization.

76420938547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 76420938547200 in words is "seventy-six trillion, four hundred twenty billion, nine hundred thirty-eight million, five hundred forty-seven thousand, two hundred".