75876857856 has 432 divisors, whose sum is σ = 234891558720. Its totient is φ = 23569367040.

The previous prime is 75876857839. The next prime is 75876857873. The reversal of 75876857856 is 65875867857.

It is an interprime number because it is at equal distance from previous prime (75876857839) and next prime (75876857873).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 782235600 + ... + 782235696.

It is an arithmetic number, because the mean of its divisors is an integer number (543730460).

Almost surely, 2^75876857856 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 75876857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117445779360).

75876857856 is an abundant number, since it is smaller than the sum of its proper divisors (159014700864).

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

75876857856 is a wasteful number, since it uses less digits than its factorization.

75876857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 170 counting only the distinct ones).

The product of its digits is 790272000, while the sum is 72.

The spelling of 75876857856 in words is "seventy-five billion, eight hundred seventy-six million, eight hundred fifty-seven thousand, eight hundred fifty-six".