873705600 has 288 divisors, whose sum is σ = 3255595200. Its totient is φ = 222689280.

The previous prime is 873705589. The next prime is 873705601. The reversal of 873705600 is 6507378.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×873705600² = 1526722950942720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (873705601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661741 + ... + 663059.

It is an arithmetic number, because the mean of its divisors is an integer number (11304150).

Almost surely, 2^873705600 is an apocalyptic number.

873705600 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 873705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627797600).

873705600 is an abundant number, since it is smaller than the sum of its proper divisors (2381889600).

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

873705600 is a wasteful number, since it uses less digits than its factorization.

873705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 873705600 is about 29558.5114645511. The cubic root of 873705600 is about 955.9937208903.

The spelling of 873705600 in words is "eight hundred seventy-three million, seven hundred five thousand, six hundred".