873362880 has 168 divisors, whose sum is σ = 3235220352. Its totient is φ = 214972416.

The previous prime is 873362839. The next prime is 873362881. The reversal of 873362880 is 88263378.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873362881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25777 + ... + 49103.

It is an arithmetic number, because the mean of its divisors is an integer number (19257264).

Almost surely, 2^873362880 is an apocalyptic number.

873362880 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 873362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617610176).

873362880 is an abundant number, since it is smaller than the sum of its proper divisors (2361857472).

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

873362880 is a wasteful number, since it uses less digits than its factorization.

873362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23363 (or 23350 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 873362880 is about 29552.7135809895. The cubic root of 873362880 is about 955.8687050890.

The spelling of 873362880 in words is "eight hundred seventy-three million, three hundred sixty-two thousand, eight hundred eighty".