7792608240 has 400 divisors, whose sum is σ = 28934433792. Its totient is φ = 1936908288.

The previous prime is 7792608233. The next prime is 7792608277. The reversal of 7792608240 is 428062977.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13990042 + ... + 13990598.

Almost surely, 2^7792608240 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 7792608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467216896).

7792608240 is an abundant number, since it is smaller than the sum of its proper divisors (21141825552).

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

7792608240 is a wasteful number, since it uses less digits than its factorization.

7792608240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7792608240 is about 88275.7511437881. The cubic root of 7792608240 is about 1982.5658196045.

The spelling of 7792608240 in words is "seven billion, seven hundred ninety-two million, six hundred eight thousand, two hundred forty".