8780879520 has 480 divisors, whose sum is σ = 35706375936. Its totient is φ = 1990656000.

The previous prime is 8780879477. The next prime is 8780879557. The reversal of 8780879520 is 259780878.

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13698400 + ... + 13699040.

Almost surely, 2^8780879520 is an apocalyptic number.

8780879520 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 8780879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853187968).

8780879520 is an abundant number, since it is smaller than the sum of its proper divisors (26925496416).

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

8780879520 is a wasteful number, since it uses less digits than its factorization.

8780879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 8780879520 is about 93706.3472770121. The cubic root of 8780879520 is about 2063.0638669874.

The spelling of 8780879520 in words is "eight billion, seven hundred eighty million, eight hundred seventy-nine thousand, five hundred twenty".