876096000 has 600 divisors, whose sum is σ = 3533757084. Its totient is φ = 215654400.

The previous prime is 876095999. The next prime is 876096007. The reversal of 876096000 is 690678.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 38340864 + 837755136 = 6192^2 + 28944^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (876096007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 67391994 + ... + 67392006.

Almost surely, 2^876096000 is an apocalyptic number.

876096000 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 876096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766878542).

876096000 is an abundant number, since it is smaller than the sum of its proper divisors (2657661084).

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

876096000 is an equidigital number, since it uses as much as digits as its factorization.

876096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

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

The square root of 876096000 is about 29598.9188991760. The cubic root of 876096000 is about 956.8647719226.

The spelling of 876096000 in words is "eight hundred seventy-six million, ninety-six thousand".