7130400 has 72 divisors (see below), whose sum is σ = 23217264. Its totient is φ = 1900800.

The previous prime is 7130393. The next prime is 7130407. The reversal of 7130400 is 40317.

It is an interprime number because it is at equal distance from previous prime (7130393) and next prime (7130407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 7130400.

It is not an unprimeable number, because it can be changed into a prime (7130407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915 + ... + 3885.

It is an arithmetic number, because the mean of its divisors is an integer number (322462).

Almost surely, 2^7130400 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 7130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608632).

7130400 is an abundant number, since it is smaller than the sum of its proper divisors (16086864).

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

7130400 is a wasteful number, since it uses less digits than its factorization.

7130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 7130400 is about 2670.2808841019. The cubic root of 7130400 is about 192.4736569338.

Adding to 7130400 its reverse (40317), we get a palindrome (7170717).

The spelling of 7130400 in words is "seven million, one hundred thirty thousand, four hundred".