76969509052800 has 4608 divisors, whose sum is σ = 347267373465600. Its totient is φ = 14806897459200.

The previous prime is 76969509052717. The next prime is 76969509052811. The reversal of 76969509052800 is 825090596967.

It is a super-2 number, since 2×76969509052800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 553737475131 + ... + 553737475269.

It is an arithmetic number, because the mean of its divisors is an integer number (75361843200).

Almost surely, 2^{76969509052800} is an apocalyptic number.

76969509052800 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 76969509052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173633686732800).

76969509052800 is an abundant number, since it is smaller than the sum of its proper divisors (270297864412800).

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

76969509052800 is a wasteful number, since it uses less digits than its factorization.

76969509052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 76969509052800 in words is "seventy-six trillion, nine hundred sixty-nine billion, five hundred nine million, fifty-two thousand, eight hundred".