879790800 has 480 divisors, whose sum is σ = 3500561664. Its totient is φ = 184320000.

The previous prime is 879790799. The next prime is 879790837. The reversal of 879790800 is 8097978.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 879790800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8710750 + ... + 8710850.

Almost surely, 2^879790800 is an apocalyptic number.

879790800 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 879790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750280832).

879790800 is an abundant number, since it is smaller than the sum of its proper divisors (2620770864).

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

879790800 is a wasteful number, since it uses less digits than its factorization.

879790800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 879790800 is about 29661.2676735166. The cubic root of 879790800 is about 958.2080286493.

The spelling of 879790800 in words is "eight hundred seventy-nine million, seven hundred ninety thousand, eight hundred".