76390012483200 has 768 divisors, whose sum is σ = 316917268080000. Its totient is φ = 17814022225920.

The previous prime is 76390012483177. The next prime is 76390012483217. The reversal of 76390012483200 is 238421009367.

76390012483200 is a `hidden beast` number, since 7 + 6 + 390 + 0 + 12 + 48 + 3 + 200 = 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 95 ways as a sum of consecutive naturals, for example, 19551036 + ... + 23130564.

Almost surely, 2^{76390012483200} 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 76390012483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158458634040000).

76390012483200 is an abundant number, since it is smaller than the sum of its proper divisors (240527255596800).

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

76390012483200 is a wasteful number, since it uses less digits than its factorization.

76390012483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579594 (or 3579571 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 76390012483200 in words is "seventy-six trillion, three hundred ninety billion, twelve million, four hundred eighty-three thousand, two hundred".