791919072 has 192 divisors, whose sum is σ = 2754984960. Its totient is φ = 216387072.

The previous prime is 791919071. The next prime is 791919101. The reversal of 791919072 is 270919197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791919071) 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 31 ways as a sum of consecutive naturals, for example, 136258 + ... + 141950.

It is an arithmetic number, because the mean of its divisors is an integer number (14348880).

Almost surely, 2^791919072 is an apocalyptic number.

791919072 is a gapful number since it is divisible by the number (72) 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 791919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).

791919072 is an abundant number, since it is smaller than the sum of its proper divisors (1963065888).

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

791919072 is a wasteful number, since it uses less digits than its factorization.

791919072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 791919072 is about 28141.0566965777. The cubic root of 791919072 is about 925.1814874475.

The spelling of 791919072 in words is "seven hundred ninety-one million, nine hundred nineteen thousand, seventy-two".