7782792640 has 112 divisors (see below), whose sum is σ = 21910852800. Its totient is φ = 2576351232.

The previous prime is 7782792629. The next prime is 7782792643. The reversal of 7782792640 is 462972877.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7782792640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7782792643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5056 + ... + 124864.

Almost surely, 2^7782792640 is an apocalyptic number.

7782792640 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 7782792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955426400).

7782792640 is an abundant number, since it is smaller than the sum of its proper divisors (14128060160).

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

7782792640 is a wasteful number, since it uses less digits than its factorization.

7782792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119862 (or 119852 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The square root of 7782792640 is about 88220.1373837062. The cubic root of 7782792640 is about 1981.7330539526.

The spelling of 7782792640 in words is "seven billion, seven hundred eighty-two million, seven hundred ninety-two thousand, six hundred forty".