872980416 has 336 divisors, whose sum is σ = 3239658240. Its totient is φ = 226748160.

The previous prime is 872980411. The next prime is 872980457. The reversal of 872980416 is 614089278.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872980411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79361851 + ... + 79361861.

It is an arithmetic number, because the mean of its divisors is an integer number (9641840).

Almost surely, 2^872980416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619829120).

872980416 is an abundant number, since it is smaller than the sum of its proper divisors (2366677824).

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

872980416 is an frugal number, since it uses more digits than its factorization.

872980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 872980416 is about 29546.2419945414. The cubic root of 872980416 is about 955.7291530366.

The spelling of 872980416 in words is "eight hundred seventy-two million, nine hundred eighty thousand, four hundred sixteen".