76992316853760 has 5120 divisors, whose sum is σ = 371446854451200. Its totient is φ = 14644858060800.

The previous prime is 76992316853747. The next prime is 76992316853779. The reversal of 76992316853760 is 6735861329967.

76992316853760 is a `hidden beast` number, since 7 + 6 + 9 + 9 + 23 + 1 + 6 + 8 + 537 + 60 = 666.

It is a super-2 number, since 2×76992316853760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 403101135265 + ... + 403101135455.

It is an arithmetic number, because the mean of its divisors is an integer number (72548213760).

Almost surely, 2^{76992316853760} is an apocalyptic number.

76992316853760 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 76992316853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185723427225600).

76992316853760 is an abundant number, since it is smaller than the sum of its proper divisors (294454537597440).

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

76992316853760 is a wasteful number, since it uses less digits than its factorization.

76992316853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 76992316853760 in words is "seventy-six trillion, nine hundred ninety-two billion, three hundred sixteen million, eight hundred fifty-three thousand, seven hundred sixty".