7607907090 has 144 divisors (see below), whose sum is σ = 23048864280. Its totient is φ = 1736017920.

The previous prime is 7607907089. The next prime is 7607907121. The reversal of 7607907090 is 907097067.

It can be written as a sum of positive squares in 4 ways, for example, as 5943022281 + 1664884809 = 77091^2 + 40803^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3654850 + ... + 3656930.

Almost surely, 2^7607907090 is an apocalyptic number.

7607907090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7607907090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524432140).

7607907090 is an abundant number, since it is smaller than the sum of its proper divisors (15440957190).

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

7607907090 is a wasteful number, since it uses less digits than its factorization.

7607907090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 7607907090 is about 87223.3173526437. The cubic root of 7607907090 is about 1966.7767547619.

The spelling of 7607907090 in words is "seven billion, six hundred seven million, nine hundred seven thousand, ninety".