7132800 has 96 divisors (see below), whose sum is σ = 23525280. Its totient is φ = 1899520.

The previous prime is 7132781. The next prime is 7132813. The reversal of 7132800 is 82317.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9229 + ... + 9971.

It is an arithmetic number, because the mean of its divisors is an integer number (245055).

Almost surely, 2^7132800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762640).

7132800 is an abundant number, since it is smaller than the sum of its proper divisors (16392480).

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

7132800 is a wasteful number, since it uses less digits than its factorization.

7132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7132800 is about 2670.7302372198. The cubic root of 7132800 is about 192.4952492222.

The spelling of 7132800 in words is "seven million, one hundred thirty-two thousand, eight hundred".