879230822400 has 1728 divisors, whose sum is σ = 3792750998400. Its totient is φ = 190465966080.

The previous prime is 879230822389. The next prime is 879230822423. The reversal of 879230822400 is 4228032978.

879230822400 is a `hidden beast` number, since 8 + 7 + 9 + 230 + 8 + 2 + 2 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6325401531 + ... + 6325401669.

It is an arithmetic number, because the mean of its divisors is an integer number (2194879050).

Almost surely, 2^879230822400 is an apocalyptic number.

879230822400 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 879230822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896375499200).

879230822400 is an abundant number, since it is smaller than the sum of its proper divisors (2913520176000).

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

879230822400 is a wasteful number, since it uses less digits than its factorization.

879230822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

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

The spelling of 879230822400 in words is "eight hundred seventy-nine billion, two hundred thirty million, eight hundred twenty-two thousand, four hundred".