7160400 has 300 divisors, whose sum is σ = 29302812. Its totient is φ = 1658880.

The previous prime is 7160389. The next prime is 7160401. The reversal of 7160400 is 40617.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 6906384 = 504^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7160401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 421192 + ... + 421208.

Almost surely, 2^7160400 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 7160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651406).

7160400 is an abundant number, since it is smaller than the sum of its proper divisors (22142412).

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

7160400 is a wasteful number, since it uses less digits than its factorization.

7160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7160400 is about 2675.8923745173. The cubic root of 7160400 is about 192.7432131329.

The spelling of 7160400 in words is "seven million, one hundred sixty thousand, four hundred".