7725400 has 72 divisors (see below), whose sum is σ = 19133820. Its totient is φ = 2900160.

The previous prime is 7725373. The next prime is 7725407. The reversal of 7725400 is 45277.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7725407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72147 + ... + 72253.

Almost surely, 2^7725400 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 7725400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566910).

7725400 is an abundant number, since it is smaller than the sum of its proper divisors (11408420).

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

7725400 is a wasteful number, since it uses less digits than its factorization.

7725400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 7725400 is about 2779.4603792823. The cubic root of 7725400 is about 197.6849733159.

The spelling of 7725400 in words is "seven million, seven hundred twenty-five thousand, four hundred".