783890352 has 320 divisors, whose sum is σ = 2695541760. Its totient is φ = 213497856.

The previous prime is 783890323. The next prime is 783890363. The reversal of 783890352 is 253098387.

It is a super-2 number, since 2×783890352² = 1228968167917367808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 783890298 and 783890307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10738188 + ... + 10738260.

It is an arithmetic number, because the mean of its divisors is an integer number (8423568).

Almost surely, 2^783890352 is an apocalyptic number.

783890352 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 783890352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347770880).

783890352 is an abundant number, since it is smaller than the sum of its proper divisors (1911651408).

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

783890352 is a wasteful number, since it uses less digits than its factorization.

783890352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 783890352 is about 27998.0419315351. The cubic root of 783890352 is about 922.0442695777.

The spelling of 783890352 in words is "seven hundred eighty-three million, eight hundred ninety thousand, three hundred fifty-two".