76370952000 has 448 divisors, whose sum is σ = 289096704000. Its totient is φ = 17402112000.

The previous prime is 76370951989. The next prime is 76370952017. The reversal of 76370952000 is 25907367.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 76370952000.

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 63 ways as a sum of consecutive naturals, for example, 83831545 + ... + 83832455.

Almost surely, 2^76370952000 is an apocalyptic number.

76370952000 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 76370952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548352000).

76370952000 is an abundant number, since it is smaller than the sum of its proper divisors (212725752000).

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

76370952000 is a wasteful number, since it uses less digits than its factorization.

76370952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 76370952000 in words is "seventy-six billion, three hundred seventy million, nine hundred fifty-two thousand".