76762944276480 has 3840 divisors, whose sum is σ = 368743415040000. Its totient is φ = 15099523891200.

The previous prime is 76762944276463. The next prime is 76762944276527. The reversal of 76762944276480 is 8467244926767.

76762944276480 is a `hidden beast` number, since 7 + 6 + 7 + 62 + 9 + 4 + 427 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×76762944276480² (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 junction number, because it is equal to n+sod(n) for n = 76762944276399 and 76762944276408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 59460064635 + ... + 59460065925.

It is an arithmetic number, because the mean of its divisors is an integer number (96026931000).

Almost surely, 2^{76762944276480} is an apocalyptic number.

76762944276480 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 76762944276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184371707520000).

76762944276480 is an abundant number, since it is smaller than the sum of its proper divisors (291980470763520).

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

76762944276480 is a wasteful number, since it uses less digits than its factorization.

76762944276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 72.

The spelling of 76762944276480 in words is "seventy-six trillion, seven hundred sixty-two billion, nine hundred forty-four million, two hundred seventy-six thousand, four hundred eighty".