791284032 has 448 divisors, whose sum is σ = 3062630400. Its totient is φ = 194088960.

The previous prime is 791284031. The next prime is 791284061. The reversal of 791284032 is 230482197.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×791284032² = 1252260838596354048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791284031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527908 + ... + 2528220.

Almost surely, 2^791284032 is an apocalyptic number.

791284032 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 791284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531315200).

791284032 is an abundant number, since it is smaller than the sum of its proper divisors (2271346368).

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

791284032 is a wasteful number, since it uses less digits than its factorization.

791284032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 791284032 is about 28129.7712752877. The cubic root of 791284032 is about 924.9341202655.

The spelling of 791284032 in words is "seven hundred ninety-one million, two hundred eighty-four thousand, thirty-two".