7759840920 has 256 divisors, whose sum is σ = 26671680000. Its totient is φ = 1790263296.

The previous prime is 7759840889. The next prime is 7759840987. The reversal of 7759840920 is 290489577.

It is a super-2 number, since 2×7759840920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2873731 + ... + 2876429.

It is an arithmetic number, because the mean of its divisors is an integer number (104186250).

Almost surely, 2^7759840920 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 7759840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840000).

7759840920 is an abundant number, since it is smaller than the sum of its proper divisors (18911839080).

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

7759840920 is a wasteful number, since it uses less digits than its factorization.

7759840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 7759840920 is about 88089.9592462160. The cubic root of 7759840920 is about 1979.7830697957.

The spelling of 7759840920 in words is "seven billion, seven hundred fifty-nine million, eight hundred forty thousand, nine hundred twenty".