799779456 has 288 divisors, whose sum is σ = 2741637600. Its totient is φ = 219156480.

The previous prime is 799779443. The next prime is 799779481. The reversal of 799779456 is 654977997.

799779456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×799779456³ (a number of 28 digits) contains 333 as substring.

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

Its product of digits (30005640) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 799779393 and 799779402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13555555 + ... + 13555613.

It is an arithmetic number, because the mean of its divisors is an integer number (9519575).

Almost surely, 2^799779456 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 799779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370818800).

799779456 is an abundant number, since it is smaller than the sum of its proper divisors (1941858144).

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

799779456 is a wasteful number, since it uses less digits than its factorization.

799779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 112 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The square root of 799779456 is about 28280.3722747774. The cubic root of 799779456 is about 928.2324526683.

The spelling of 799779456 in words is "seven hundred ninety-nine million, seven hundred seventy-nine thousand, four hundred fifty-six".