75776127464880 has 400 divisors, whose sum is σ = 278830634813280. Its totient is φ = 19006881030144.

The previous prime is 75776127464827. The next prime is 75776127464887. The reversal of 75776127464880 is 8846472167757.

75776127464880 is a `hidden beast` number, since 7 + 5 + 7 + 7 + 61 + 27 + 464 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 75776127464799 and 75776127464808.

It is not an unprimeable number, because it can be changed into a prime (75776127464887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183650967 + ... + 184063113.

Almost surely, 2^{75776127464880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75776127464880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139415317406640).

75776127464880 is an abundant number, since it is smaller than the sum of its proper divisors (203054507348400).

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

75776127464880 is a wasteful number, since it uses less digits than its factorization.

75776127464880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413858 (or 413843 counting only the distinct ones).

The product of its (nonzero) digits is 885104640, while the sum is 72.

The spelling of 75776127464880 in words is "seventy-five trillion, seven hundred seventy-six billion, one hundred twenty-seven million, four hundred sixty-four thousand, eight hundred eighty".