76601324331840 has 896 divisors, whose sum is σ = 315412416184320. Its totient is φ = 15283305676800.

The previous prime is 76601324331809. The next prime is 76601324331887. The reversal of 76601324331840 is 4813342310667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76601324331840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 387907369 + ... + 388104791.

It is an arithmetic number, because the mean of its divisors is an integer number (352022785920).

Almost surely, 2^{76601324331840} is an apocalyptic number.

76601324331840 is a gapful number since it is divisible by the number (70) 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 76601324331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157706208092160).

76601324331840 is an abundant number, since it is smaller than the sum of its proper divisors (238811091852480).

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

76601324331840 is a wasteful number, since it uses less digits than its factorization.

76601324331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197671 (or 197661 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 76601324331840 in words is "seventy-six trillion, six hundred one billion, three hundred twenty-four million, three hundred thirty-one thousand, eight hundred forty".