7799264928 has 576 divisors, whose sum is σ = 29343928320. Its totient is φ = 1996130304.

The previous prime is 7799264927. The next prime is 7799264933. The reversal of 7799264928 is 8294629977.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7799264927) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20363425 + ... + 20363807.

It is an arithmetic number, because the mean of its divisors is an integer number (50944320).

Almost surely, 2^7799264928 is an apocalyptic number.

7799264928 is a gapful number since it is divisible by the number (78) 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 7799264928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671964160).

7799264928 is an abundant number, since it is smaller than the sum of its proper divisors (21544663392).

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

7799264928 is a wasteful number, since it uses less digits than its factorization.

7799264928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 7799264928 is about 88313.4470395081. The cubic root of 7799264928 is about 1983.1301820371.

The spelling of 7799264928 in words is "seven billion, seven hundred ninety-nine million, two hundred sixty-four thousand, nine hundred twenty-eight".