783361040 has 240 divisors, whose sum is σ = 2378579904. Its totient is φ = 237081600.

The previous prime is 783360997. The next prime is 783361043. The reversal of 783361040 is 40163387.

It is a super-2 number, since 2×783361040² = 1227309037979763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 783360988 and 783361006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783361043) 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 47 ways as a sum of consecutive naturals, for example, 1595195 + ... + 1595685.

Almost surely, 2^783361040 is an apocalyptic number.

783361040 is a gapful number since it is divisible by the number (70) 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 783361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189289952).

783361040 is an abundant number, since it is smaller than the sum of its proper divisors (1595218864).

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

783361040 is a wasteful number, since it uses less digits than its factorization.

783361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 783361040 is about 27988.5876742647. The cubic root of 783361040 is about 921.8366899564.

The spelling of 783361040 in words is "seven hundred eighty-three million, three hundred sixty-one thousand, forty".