872754960 has 320 divisors, whose sum is σ = 3419781120. Its totient is φ = 178851840.

The previous prime is 872754943. The next prime is 872754973. The reversal of 872754960 is 69457278.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 1533556 + ... + 1534124.

It is an arithmetic number, because the mean of its divisors is an integer number (10686816).

Almost surely, 2^872754960 is an apocalyptic number.

872754960 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 872754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

872754960 is an abundant number, since it is smaller than the sum of its proper divisors (2547026160).

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

872754960 is a wasteful number, since it uses less digits than its factorization.

872754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 872754960 is about 29542.4264406294. The cubic root of 872754960 is about 955.6468703873.

It can be divided in two parts, 87275 and 4960, that added together give a triangular number (92235 = T₄₂₉).

The spelling of 872754960 in words is "eight hundred seventy-two million, seven hundred fifty-four thousand, nine hundred sixty".