873793600 has 63 divisors (see below), whose sum is σ = 2152991757. Its totient is φ = 349044480.

The previous prime is 873793561. The next prime is 873793637. The reversal of 873793600 is 6397378.

The square root of 873793600 is 29560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 314565696 + 559227904 = 17736^2 + 23648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1182031 + ... + 1182769.

Almost surely, 2^873793600 is an apocalyptic number.

873793600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

873793600 is the 29560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873793600

873793600 is an abundant number, since it is smaller than the sum of its proper divisors (1279198157).

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

873793600 is an frugal number, since it uses more digits than its factorization.

873793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The cubic root of 873793600 is about 956.0258158444.

The spelling of 873793600 in words is "eight hundred seventy-three million, seven hundred ninety-three thousand, six hundred".