76936509893880 has 1280 divisors, whose sum is σ = 332325136281600. Its totient is φ = 15516695715840.

The previous prime is 76936509893869. The next prime is 76936509893917. The reversal of 76936509893880 is 8839890563967.

76936509893880 is a `hidden beast` number, since 7 + 6 + 9 + 365 + 0 + 98 + 93 + 8 + 80 = 666.

It is a super-2 number, since 2×76936509893880² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76936509893880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14166174765 + ... + 14166180195.

It is an arithmetic number, because the mean of its divisors is an integer number (259629012720).

Almost surely, 2^{76936509893880} is an apocalyptic number.

76936509893880 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 76936509893880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166162568140800).

76936509893880 is an abundant number, since it is smaller than the sum of its proper divisors (255388626387720).

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

76936509893880 is a wasteful number, since it uses less digits than its factorization.

76936509893880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 76936509893880 in words is "seventy-six trillion, nine hundred thirty-six billion, five hundred nine million, eight hundred ninety-three thousand, eight hundred eighty".