7793922144 has 96 divisors (see below), whose sum is σ = 21189863520. Its totient is φ = 2505388032.

The previous prime is 7793922137. The next prime is 7793922299. The reversal of 7793922144 is 4412293977.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7793922093 and 7793922102.

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 15 ways as a sum of consecutive naturals, for example, 4445172 + ... + 4446924.

It is an arithmetic number, because the mean of its divisors is an integer number (220727745).

Almost surely, 2^7793922144 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 7793922144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594931760).

7793922144 is an abundant number, since it is smaller than the sum of its proper divisors (13395941376).

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

7793922144 is a wasteful number, since it uses less digits than its factorization.

7793922144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3384 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 7793922144 is about 88283.1928738421. The cubic root of 7793922144 is about 1982.6772394993.

The spelling of 7793922144 in words is "seven billion, seven hundred ninety-three million, nine hundred twenty-two thousand, one hundred forty-four".