791479728 has 240 divisors, whose sum is σ = 2535150240. Its totient is φ = 236141568.

The previous prime is 791479673. The next prime is 791479739. The reversal of 791479728 is 827974197.

It is a super-3 number, since 3×791479728³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701150 + ... + 2701442.

It is an arithmetic number, because the mean of its divisors is an integer number (10563126).

Almost surely, 2^791479728 is an apocalyptic number.

791479728 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 791479728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267575120).

791479728 is an abundant number, since it is smaller than the sum of its proper divisors (1743670512).

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

791479728 is a wasteful number, since it uses less digits than its factorization.

791479728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 791479728 is about 28133.2495101437. The cubic root of 791479728 is about 925.0103638478.

The spelling of 791479728 in words is "seven hundred ninety-one million, four hundred seventy-nine thousand, seven hundred twenty-eight".