77950978560000 has 5200 divisors, whose sum is σ = 380762074433664. Its totient is φ = 15479341056000.

The previous prime is 77950978559989. The next prime is 77950978560041. The reversal of 77950978560000 is 6587905977.

77950978560000 is a `hidden beast` number, since 7 + 7 + 9 + 509 + 78 + 56 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 77950978560000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4585351679992 + ... + 4585351680008.

Almost surely, 2^{77950978560000} is an apocalyptic number.

77950978560000 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 77950978560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190381037216832).

77950978560000 is an abundant number, since it is smaller than the sum of its proper divisors (302811095873664).

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

77950978560000 is an frugal number, since it uses more digits than its factorization.

77950978560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 77950978560000 in words is "seventy-seven trillion, nine hundred fifty billion, nine hundred seventy-eight million, five hundred sixty thousand".