7056400 has 120 divisors (see below), whose sum is σ = 19373760. Its totient is φ = 2449920.

The previous prime is 7056383. The next prime is 7056403. The reversal of 7056400 is 46507.

It is a super-3 number, since 3×7056400³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7056403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119571 + ... + 119629.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^7056400 is an apocalyptic number.

7056400 is the 1534-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

7056400 is an abundant number, since it is smaller than the sum of its proper divisors (12317360).

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

7056400 is a wasteful number, since it uses less digits than its factorization.

7056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 7056400 is about 2656.3885257996. The cubic root of 7056400 is about 191.8055032721.

It can be divided in two parts, 7056 and 400, that multiplied together give a square (2822400 = 1680²).

The spelling of 7056400 in words is "seven million, fifty-six thousand, four hundred".