879774480 has 640 divisors, whose sum is σ = 3674764800. Its totient is φ = 191102976.

The previous prime is 879774473. The next prime is 879774491. The reversal of 879774480 is 84477978.

879774480 is a `hidden beast` number, since 8 + 7 + 97 + 74 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9069792 + ... + 9069888.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2^879774480 is an apocalyptic number.

879774480 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 879774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837382400).

879774480 is an abundant number, since it is smaller than the sum of its proper divisors (2794990320).

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

879774480 is a wasteful number, since it uses less digits than its factorization.

879774480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 879774480 is about 29660.9925659948. The cubic root of 879774480 is about 958.2021037364.

The spelling of 879774480 in words is "eight hundred seventy-nine million, seven hundred seventy-four thousand, four hundred eighty".