783873090 has 432 divisors, whose sum is σ = 2831230584. Its totient is φ = 149022720.

The previous prime is 783873089. The next prime is 783873109. The reversal of 783873090 is 90378387.

783873090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 239537529 + 544335561 = 15477^2 + 23331^2 .

It is a super-2 number, since 2×783873090² = 1228914042452296200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6936874 + ... + 6936986.

Almost surely, 2^783873090 is an apocalyptic number.

783873090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 783873090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415615292).

783873090 is an abundant number, since it is smaller than the sum of its proper divisors (2047357494).

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

783873090 is a wasteful number, since it uses less digits than its factorization.

783873090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 783873090 is about 27997.7336582803. The cubic root of 783873090 is about 922.0375014351.

It can be divided in two parts, 7838730 and 90, that added together give a triangular number (7838820 = T₃₉₅₉).

The spelling of 783873090 in words is "seven hundred eighty-three million, eight hundred seventy-three thousand, ninety".