7608900 has 72 divisors (see below), whose sum is σ = 23720704. Its totient is φ = 1872000.

The previous prime is 7608889. The next prime is 7608901. The reversal of 7608900 is 98067.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (7608901) 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, 2925 + ... + 4875.

Almost surely, 2^7608900 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 7608900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860352).

7608900 is an abundant number, since it is smaller than the sum of its proper divisors (16111804).

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

7608900 is a wasteful number, since it uses less digits than its factorization.

7608900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7608900 is about 2758.4234627772. The cubic root of 7608900 is about 196.6862312561.

The spelling of 7608900 in words is "seven million, six hundred eight thousand, nine hundred".