876485836800 has 2304 divisors, whose sum is σ = 4046527255680. Its totient is φ = 183458856960.

The previous prime is 876485836777. The next prime is 876485836813. The reversal of 876485836800 is 8638584678.

876485836800 is a `hidden beast` number, since 8 + 7 + 6 + 48 + 583 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×876485836800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23688806382 + ... + 23688806418.

Almost surely, 2^876485836800 is an apocalyptic number.

876485836800 is a gapful number since it is divisible by the number (80) 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 876485836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023263627840).

876485836800 is an abundant number, since it is smaller than the sum of its proper divisors (3170041418880).

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

876485836800 is an equidigital number, since it uses as much as digits as its factorization.

876485836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 876485836800 in words is "eight hundred seventy-six billion, four hundred eighty-five million, eight hundred thirty-six thousand, eight hundred".