879333801984 has 765 divisors, whose sum is σ = 2967821123421. Its totient is φ = 259263037440.

The previous prime is 879333801953. The next prime is 879333802003. The reversal of 879333801984 is 489108333978.

The square root of 879333801984 is 937728.

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

879333801984 is a `hidden beast` number, since 87 + 93 + 3 + 380 + 1 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 786839961600 + 92493840384 = 887040^2 + 304128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23765778414 + ... + 23765778450.

Almost surely, 2^879333801984 is an apocalyptic number.

879333801984 is the 937728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879333801984

879333801984 is an abundant number, since it is smaller than the sum of its proper divisors (2088487321437).

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

879333801984 is an frugal number, since it uses more digits than its factorization.

879333801984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 879333801984 in words is "eight hundred seventy-nine billion, three hundred thirty-three million, eight hundred one thousand, nine hundred eighty-four".