76377701693800 has 192 divisors, whose sum is σ = 192734851680000. Its totient is φ = 27981056378880.

The previous prime is 76377701693789. The next prime is 76377701693831. The reversal of 76377701693800 is 839610777367.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185541004 + ... + 185952196.

It is an arithmetic number, because the mean of its divisors is an integer number (1003827352500).

Almost surely, 2^{76377701693800} 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 76377701693800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96367425840000).

76377701693800 is an abundant number, since it is smaller than the sum of its proper divisors (116357149986200).

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

76377701693800 is a wasteful number, since it uses less digits than its factorization.

76377701693800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411780 (or 411771 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 64.

The spelling of 76377701693800 in words is "seventy-six trillion, three hundred seventy-seven billion, seven hundred one million, six hundred ninety-three thousand, eight hundred".