76763988790272 has 660 divisors, whose sum is σ = 275260277734464. Its totient is φ = 21225031188480.

The previous prime is 76763988790267. The next prime is 76763988790319. The reversal of 76763988790272 is 27209788936767.

76763988790272 is a `hidden beast` number, since 7 + 6 + 76 + 398 + 8 + 7 + 90 + 2 + 72 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 76763988790191 and 76763988790200.

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 59 ways as a sum of consecutive naturals, for example, 125687298 + ... + 126296574.

Almost surely, 2^{76763988790272} is an apocalyptic number.

76763988790272 is a gapful number since it is divisible by the number (72) 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 76763988790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137630138867232).

76763988790272 is an abundant number, since it is smaller than the sum of its proper divisors (198496288944192).

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

76763988790272 is a wasteful number, since it uses less digits than its factorization.

76763988790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609354 (or 609320 counting only the distinct ones).

The product of its (nonzero) digits is 5377010688, while the sum is 81.

The spelling of 76763988790272 in words is "seventy-six trillion, seven hundred sixty-three billion, nine hundred eighty-eight million, seven hundred ninety thousand, two hundred seventy-two".