76377412992 has 128 divisors (see below), whose sum is σ = 207042635520. Its totient is φ = 24938035200.

The previous prime is 76377412967. The next prime is 76377413081. The reversal of 76377412992 is 29921477367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14060517 + ... + 14065947.

It is an arithmetic number, because the mean of its divisors is an integer number (1617520590).

Almost surely, 2^76377412992 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 76377412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103521317760).

76377412992 is an abundant number, since it is smaller than the sum of its proper divisors (130665222528).

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

76377412992 is a wasteful number, since it uses less digits than its factorization.

76377412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6180 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 57.

The spelling of 76377412992 in words is "seventy-six billion, three hundred seventy-seven million, four hundred twelve thousand, nine hundred ninety-two".