793249632 has 288 divisors, whose sum is σ = 2763059040. Its totient is φ = 220631040.

The previous prime is 793249603. The next prime is 793249663. The reversal of 793249632 is 236942397.

793249632 is a `hidden beast` number, since 7 + 9 + 3 + 2 + 4 + 9 + 632 = 666.

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

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

It is a congruent number.

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, 1735548 + ... + 1736004.

It is an arithmetic number, because the mean of its divisors is an integer number (9593955).

Almost surely, 2^793249632 is an apocalyptic number.

793249632 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 793249632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381529520).

793249632 is an abundant number, since it is smaller than the sum of its proper divisors (1969809408).

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

793249632 is a wasteful number, since it uses less digits than its factorization.

793249632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 793249632 is about 28164.6876780127. The cubic root of 793249632 is about 925.6993521009.

It can be divided in two parts, 793249 and 632, that added together give a square (793881 = 891²).

The spelling of 793249632 in words is "seven hundred ninety-three million, two hundred forty-nine thousand, six hundred thirty-two".