873532800 has 432 divisors, whose sum is σ = 3631715100. Its totient is φ = 199342080.

The previous prime is 873532799. The next prime is 873532843. The reversal of 873532800 is 8235378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1410891 + ... + 1411509.

Almost surely, 2^873532800 is an apocalyptic number.

873532800 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 873532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815857550).

873532800 is an abundant number, since it is smaller than the sum of its proper divisors (2758182300).

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

873532800 is a wasteful number, since it uses less digits than its factorization.

873532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 873532800 is about 29555.5883040754. The cubic root of 873532800 is about 955.9306918003.

The spelling of 873532800 in words is "eight hundred seventy-three million, five hundred thirty-two thousand, eight hundred".