77575680000 has 1560 divisors, whose sum is σ = 353942677088. Its totient is φ = 15925248000.

The previous prime is 77575679989. The next prime is 77575680023. The reversal of 77575680000 is 8657577.

77575680000 is a `hidden beast` number, since 77 + 575 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×77575680000² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2096639982 + ... + 2096640018.

Almost surely, 2^77575680000 is an apocalyptic number.

77575680000 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 77575680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176971338544).

77575680000 is an abundant number, since it is smaller than the sum of its proper divisors (276366997088).

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

77575680000 is a wasteful number, since it uses less digits than its factorization.

77575680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

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

The spelling of 77575680000 in words is "seventy-seven billion, five hundred seventy-five million, six hundred eighty thousand".