879919200 has 360 divisors, whose sum is σ = 3304600992. Its totient is φ = 227681280.

The previous prime is 879919199. The next prime is 879919207. The reversal of 879919200 is 2919978.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879919207) 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, 2397417 + ... + 2397783.

Almost surely, 2^879919200 is an apocalyptic number.

879919200 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 879919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652300496).

879919200 is an abundant number, since it is smaller than the sum of its proper divisors (2424681792).

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

879919200 is a wasteful number, since it uses less digits than its factorization.

879919200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 879919200 is about 29663.4320333976. The cubic root of 879919200 is about 958.2546412175.

The spelling of 879919200 in words is "eight hundred seventy-nine million, nine hundred nineteen thousand, two hundred".