7795417560 has 128 divisors (see below), whose sum is σ = 26804736000. Its totient is φ = 1776637440.

The previous prime is 7795417543. The next prime is 7795417561. The reversal of 7795417560 is 657145977.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7795417561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279865 + ... + 306455.

It is an arithmetic number, because the mean of its divisors is an integer number (209412000).

Almost surely, 2^7795417560 is an apocalyptic number.

7795417560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7795417560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402368000).

7795417560 is an abundant number, since it is smaller than the sum of its proper divisors (19009318440).

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

7795417560 is a wasteful number, since it uses less digits than its factorization.

7795417560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26961 (or 26957 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The square root of 7795417560 is about 88291.6618939750. The cubic root of 7795417560 is about 1982.8040364917.

It can be divided in two parts, 7795417 and 560, that added together give a palindrome (7795977).

The spelling of 7795417560 in words is "seven billion, seven hundred ninety-five million, four hundred seventeen thousand, five hundred sixty".