873650400 has 864 divisors, whose sum is σ = 3847253760. Its totient is φ = 170311680.

The previous prime is 873650363. The next prime is 873650411. The reversal of 873650400 is 4056378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37984789 + ... + 37984811.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^873650400 is an apocalyptic number.

873650400 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 873650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923626880).

873650400 is an abundant number, since it is smaller than the sum of its proper divisors (2973603360).

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

873650400 is a wasteful number, since it uses less digits than its factorization.

873650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 873650400 is about 29557.5777086012. The cubic root of 873650400 is about 955.9735875011.

The spelling of 873650400 in words is "eight hundred seventy-three million, six hundred fifty thousand, four hundred".