873920880 has 480 divisors, whose sum is σ = 3664051200. Its totient is φ = 190536192.

The previous prime is 873920849. The next prime is 873920891. The reversal of 873920880 is 88029378.

873920880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2434141 + ... + 2434499.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2^873920880 is an apocalyptic number.

873920880 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 873920880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832025600).

873920880 is an abundant number, since it is smaller than the sum of its proper divisors (2790130320).

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

873920880 is a wasteful number, since it uses less digits than its factorization.

873920880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

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

The square root of 873920880 is about 29562.1528309425. The cubic root of 873920880 is about 956.0722330067.

The spelling of 873920880 in words is "eight hundred seventy-three million, nine hundred twenty thousand, eight hundred eighty".