7628700 has 72 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1995200.

The previous prime is 7628689. The next prime is 7628717. The reversal of 7628700 is 78267.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17485 + ... + 17915.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^7628700 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 7628700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

7628700 is an abundant number, since it is smaller than the sum of its proper divisors (14869860).

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

7628700 is a wasteful number, since it uses less digits than its factorization.

7628700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

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

The square root of 7628700 is about 2762.0101375629. The cubic root of 7628700 is about 196.8566901591.

The spelling of 7628700 in words is "seven million, six hundred twenty-eight thousand, seven hundred".