879477984 has 144 divisors (see below), whose sum is σ = 3118227840. Its totient is φ = 228430080.

The previous prime is 879477941. The next prime is 879477997. The reversal of 879477984 is 489774978.

It is a happy number.

879477984 is a `hidden beast` number, since 8 + 79 + 477 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347 + ... + 42005.

It is an arithmetic number, because the mean of its divisors is an integer number (21654360).

Almost surely, 2^879477984 is an apocalyptic number.

879477984 is a gapful number since it is divisible by the number (84) 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 879477984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559113920).

879477984 is an abundant number, since it is smaller than the sum of its proper divisors (2238749856).

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

879477984 is a wasteful number, since it uses less digits than its factorization.

879477984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39693 (or 39682 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The square root of 879477984 is about 29655.9940652813. The cubic root of 879477984 is about 958.0944492488.

The spelling of 879477984 in words is "eight hundred seventy-nine million, four hundred seventy-seven thousand, nine hundred eighty-four".