7728600 has 96 divisors (see below), whose sum is σ = 26159040. Its totient is φ = 1872000.

The previous prime is 7728599. The next prime is 7728601. The reversal of 7728600 is 68277.

It is an interprime number because it is at equal distance from previous prime (7728599) and next prime (7728601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728601) 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, 6015 + ... + 7185.

It is an arithmetic number, because the mean of its divisors is an integer number (272490).

Almost surely, 2^7728600 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 7728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079520).

7728600 is an abundant number, since it is smaller than the sum of its proper divisors (18430440).

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

7728600 is a wasteful number, since it uses less digits than its factorization.

7728600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 7728600 is about 2780.0359709903. The cubic root of 7728600 is about 197.7122644417.

The spelling of 7728600 in words is "seven million, seven hundred twenty-eight thousand, six hundred".