96795093780 has 1152 divisors, whose sum is σ = 405775319040. Its totient is φ = 18071424000.

The previous prime is 96795093743. The next prime is 96795093793. The reversal of 96795093780 is 8739059769.

96795093780 is a `hidden beast` number, since 96 + 7 + 9 + 509 + 37 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 579611257 + ... + 579611423.

It is an arithmetic number, because the mean of its divisors is an integer number (352235520).

Almost surely, 2^96795093780 is an apocalyptic number.

96795093780 is a gapful number since it is divisible by the number (90) 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 96795093780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202887659520).

96795093780 is an abundant number, since it is smaller than the sum of its proper divisors (308980225260).

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

96795093780 is a wasteful number, since it uses less digits than its factorization.

96795093780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 96795093780 in words is "ninety-six billion, seven hundred ninety-five million, ninety-three thousand, seven hundred eighty".