7630920 has 192 divisors, whose sum is σ = 28304640. Its totient is φ = 1766400.

The previous prime is 7630907. The next prime is 7630921. The reversal of 7630920 is 290367.

7630920 is a `hidden beast` number, since 7 + 630 + 9 + 20 = 666.

It is a super-3 number, since 3×7630920³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7630921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162337 + ... + 162383.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^7630920 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 7630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

7630920 is an abundant number, since it is smaller than the sum of its proper divisors (20673720).

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

7630920 is a wasteful number, since it uses less digits than its factorization.

7630920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 7630920 is about 2762.4119895483. The cubic root of 7630920 is about 196.8757838215.

The spelling of 7630920 in words is "seven million, six hundred thirty thousand, nine hundred twenty".