77076838954080 has 1536 divisors, whose sum is σ = 324792424857600. Its totient is φ = 16702101504000.

The previous prime is 77076838954067. The next prime is 77076838954109. The reversal of 77076838954080 is 8045983867077.

77076838954080 is a `hidden beast` number, since 7 + 7 + 0 + 76 + 8 + 3 + 8 + 9 + 540 + 8 + 0 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10333397391 + ... + 10333404849.

It is an arithmetic number, because the mean of its divisors is an integer number (211453401600).

Almost surely, 2^{77076838954080} is an apocalyptic number.

77076838954080 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 77076838954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162396212428800).

77076838954080 is an abundant number, since it is smaller than the sum of its proper divisors (247715585903520).

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

77076838954080 is a wasteful number, since it uses less digits than its factorization.

77076838954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 77076838954080 in words is "seventy-seven trillion, seventy-six billion, eight hundred thirty-eight million, nine hundred fifty-four thousand, eighty".