879603888384 has 567 divisors, whose sum is σ = 2867697805413. Its totient is φ = 269026707456.

The previous prime is 879603888301. The next prime is 879603888407. The reversal of 879603888384 is 483888306978.

The square root of 879603888384 is 937872.

It is a perfect power (a square), and thus also a powerful number.

879603888384 is a `hidden beast` number, since 8 + 7 + 9 + 603 + 8 + 8 + 8 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130118918400 + 749484969984 = 360720^2 + 865728^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5267089069 + ... + 5267089235.

Almost surely, 2^879603888384 is an apocalyptic number.

879603888384 is the 937872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879603888384

879603888384 is an abundant number, since it is smaller than the sum of its proper divisors (1988093917029).

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

879603888384 is an frugal number, since it uses more digits than its factorization.

879603888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 879603888384 in words is "eight hundred seventy-nine billion, six hundred three million, eight hundred eighty-eight thousand, three hundred eighty-four".