876960000 has 720 divisors, whose sum is σ = 3831273600. Its totient is φ = 193536000.

The previous prime is 876959969. The next prime is 876960013. The reversal of 876960000 is 69678.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30239986 + ... + 30240014.

Almost surely, 2^876960000 is an apocalyptic number.

876960000 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 876960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915636800).

876960000 is an abundant number, since it is smaller than the sum of its proper divisors (2954313600).

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

876960000 is an equidigital number, since it uses as much as digits as its factorization.

876960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 876960000 is about 29613.5104302074. The cubic root of 876960000 is about 957.1792197835.

The spelling of 876960000 in words is "eight hundred seventy-six million, nine hundred sixty thousand".