7728700 has 72 divisors (see below), whose sum is σ = 19589024. Its totient is φ = 2592000.

The previous prime is 7728697. The next prime is 7728701. The reversal of 7728700 is 78277.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728701) 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, 42610 + ... + 42790.

Almost surely, 2^7728700 is an apocalyptic number.

7728700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9794512).

7728700 is an abundant number, since it is smaller than the sum of its proper divisors (11860324).

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

7728700 is a wasteful number, since it uses less digits than its factorization.

7728700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 7728700 is about 2780.0539563109. The cubic root of 7728700 is about 197.7131171680.

The spelling of 7728700 in words is "seven million, seven hundred twenty-eight thousand, seven hundred".