879517440 has 360 divisors, whose sum is σ = 3338874000. Its totient is φ = 220299264.

The previous prime is 879517421. The next prime is 879517477. The reversal of 879517440 is 44715978.

It is a happy number.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762311 + ... + 1762809.

It is an arithmetic number, because the mean of its divisors is an integer number (9274650).

Almost surely, 2^879517440 is an apocalyptic number.

879517440 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 879517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669437000).

879517440 is an abundant number, since it is smaller than the sum of its proper divisors (2459356560).

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

879517440 is a wasteful number, since it uses less digits than its factorization.

879517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 879517440 is about 29656.6592859007. The cubic root of 879517440 is about 958.1087766908.

The spelling of 879517440 in words is "eight hundred seventy-nine million, five hundred seventeen thousand, four hundred forty".