7792122240 has 640 divisors, whose sum is σ = 32257051200. Its totient is φ = 1755758592.

The previous prime is 7792122223. The next prime is 7792122257. The reversal of 7792122240 is 422212977.

It is an interprime number because it is at equal distance from previous prime (7792122223) and next prime (7792122257).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7792122195 and 7792122204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39553822 + ... + 39554018.

Almost surely, 2^7792122240 is an apocalyptic number.

7792122240 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 7792122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128525600).

7792122240 is an abundant number, since it is smaller than the sum of its proper divisors (24464928960).

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

7792122240 is a wasteful number, since it uses less digits than its factorization.

7792122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7792122240 is about 88272.9983630328. The cubic root of 7792122240 is about 1982.5246033224.

The spelling of 7792122240 in words is "seven billion, seven hundred ninety-two million, one hundred twenty-two thousand, two hundred forty".