7640900 has 36 divisors (see below), whose sum is σ = 16756740. Its totient is φ = 3024000.

The previous prime is 7640887. The next prime is 7640903. The reversal of 7640900 is 90467.

It can be written as a sum of positive squares in 6 ways, for example, as 198916 + 7441984 = 446^2 + 2728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7640900.

It is not an unprimeable number, because it can be changed into a prime (7640903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10550 + ... + 11250.

It is an arithmetic number, because the mean of its divisors is an integer number (465465).

Almost surely, 2^7640900 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 7640900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378370).

7640900 is an abundant number, since it is smaller than the sum of its proper divisors (9115840).

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

7640900 is a wasteful number, since it uses less digits than its factorization.

7640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 7640900 is about 2764.2177917089. The cubic root of 7640900 is about 196.9615735817.

The spelling of 7640900 in words is "seven million, six hundred forty thousand, nine hundred".