76780433096400 has 720 divisors, whose sum is σ = 277487136811584. Its totient is φ = 17997419520000.

The previous prime is 76780433096333. The next prime is 76780433096429. The reversal of 76780433096400 is 469033408767.

It is a happy number.

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, 21831227442 + ... + 21831230958.

Almost surely, 2^{76780433096400} 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 76780433096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138743568405792).

76780433096400 is an abundant number, since it is smaller than the sum of its proper divisors (200706703715184).

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

76780433096400 is a wasteful number, since it uses less digits than its factorization.

76780433096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 76780433096400 in words is "seventy-six trillion, seven hundred eighty billion, four hundred thirty-three million, ninety-six thousand, four hundred".