876646800 has 360 divisors, whose sum is σ = 3274165440. Its totient is φ = 224985600.

The previous prime is 876646783. The next prime is 876646801. The reversal of 876646800 is 8646678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×876646800² = 1537019223900480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (876646801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2818645 + ... + 2818955.

It is an arithmetic number, because the mean of its divisors is an integer number (9094904).

Almost surely, 2^876646800 is an apocalyptic number.

876646800 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 876646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637082720).

876646800 is an abundant number, since it is smaller than the sum of its proper divisors (2397518640).

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

876646800 is a wasteful number, since it uses less digits than its factorization.

876646800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 876646800 is about 29608.2218311063. The cubic root of 876646800 is about 957.0652563082.

The spelling of 876646800 in words is "eight hundred seventy-six million, six hundred forty-six thousand, eight hundred".