75827640775680 has 440 divisors, whose sum is σ = 279067324017768. Its totient is φ = 19674194706432.

The previous prime is 75827640775661. The next prime is 75827640775693. The reversal of 75827640775680 is 8657704672857.

75827640775680 is a `hidden beast` number, since 7 + 5 + 8 + 2 + 76 + 407 + 75 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5236994248704 + 70590646526976 = 2288448^2 + 8401824^2 .

It is a super-2 number, since 2×75827640775680² (a number of 29 digits) contains 22 as substring.

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 = 75827640775599 and 75827640775608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12873822 + ... + 17815458.

Almost surely, 2^{75827640775680} 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 75827640775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139533662008884).

75827640775680 is an abundant number, since it is smaller than the sum of its proper divisors (203239683242088).

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

75827640775680 is a wasteful number, since it uses less digits than its factorization.

75827640775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941711 (or 4941684 counting only the distinct ones).

The product of its (nonzero) digits is 1106380800, while the sum is 72.

The spelling of 75827640775680 in words is "seventy-five trillion, eight hundred twenty-seven billion, six hundred forty million, seven hundred seventy-five thousand, six hundred eighty".