76422528000 has 1584 divisors, whose sum is σ = 351965175744. Its totient is φ = 16124313600.

The previous prime is 76422527981. The next prime is 76422528011. The reversal of 76422528000 is 82522467.

76422528000 is a `hidden beast` number, since 7 + 642 + 2 + 5 + 2 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5878655994 + ... + 5878656006.

Almost surely, 2^76422528000 is an apocalyptic number.

76422528000 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 76422528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175982587872).

76422528000 is an abundant number, since it is smaller than the sum of its proper divisors (275542647744).

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

76422528000 is an frugal number, since it uses more digits than its factorization.

76422528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 76422528000 in words is "seventy-six billion, four hundred twenty-two million, five hundred twenty-eight thousand".