793362240 has 336 divisors, whose sum is σ = 3024103680. Its totient is φ = 189296640.

The previous prime is 793362221. The next prime is 793362289. The reversal of 793362240 is 42263397.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 793362195 and 793362204.

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, 2502562 + ... + 2502878.

Almost surely, 2^793362240 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 793362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512051840).

793362240 is an abundant number, since it is smaller than the sum of its proper divisors (2230741440).

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

793362240 is a wasteful number, since it uses less digits than its factorization.

793362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 793362240 is about 28166.6867061073. The cubic root of 793362240 is about 925.7431534534.

The spelling of 793362240 in words is "seven hundred ninety-three million, three hundred sixty-two thousand, two hundred forty".