783738240 has 64 divisors (see below), whose sum is σ = 2498171760. Its totient is φ = 208996352.

The previous prime is 783738173. The next prime is 783738251. The reversal of 783738240 is 42837387.

783738240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×783738240² = 1228491257676595200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 783738192 and 783738201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202179 + ... + 206018.

Almost surely, 2^783738240 is an apocalyptic number.

It is an amenable number.

783738240 is an abundant number, since it is smaller than the sum of its proper divisors (1714433520).

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

783738240 is a wasteful number, since it uses less digits than its factorization.

783738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408219 (or 408207 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 783738240 is about 27995.3253240608. The cubic root of 783738240 is about 921.9846255767.

The spelling of 783738240 in words is "seven hundred eighty-three million, seven hundred thirty-eight thousand, two hundred forty".