77057568000 has 1440 divisors, whose sum is σ = 340761028608. Its totient is φ = 16920576000.

The previous prime is 77057567953. The next prime is 77057568041. The reversal of 77057568000 is 86575077.

77057568000 is a `hidden beast` number, since 7 + 70 + 575 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 562463932 + ... + 562464068.

Almost surely, 2^77057568000 is an apocalyptic number.

77057568000 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 77057568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170380514304).

77057568000 is an abundant number, since it is smaller than the sum of its proper divisors (263703460608).

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

77057568000 is a wasteful number, since it uses less digits than its factorization.

77057568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 77057568000 in words is "seventy-seven billion, fifty-seven million, five hundred sixty-eight thousand".