7148800 has 54 divisors (see below), whose sum is σ = 17710238. Its totient is φ = 2856960.

The previous prime is 7148759. The next prime is 7148809. The reversal of 7148800 is 88417.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 7139584 = 96^2 + 2672^2 .

It is a super-2 number, since 2×7148800² = 102210682880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7148809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5842 + ... + 6958.

Almost surely, 2^7148800 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 7148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855119).

7148800 is an abundant number, since it is smaller than the sum of its proper divisors (10561438).

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

7148800 is a wasteful number, since it uses less digits than its factorization.

7148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 7148800 is about 2673.7239947309. The cubic root of 7148800 is about 192.6390741780.

The spelling of 7148800 in words is "seven million, one hundred forty-eight thousand, eight hundred".