784920990 has 128 divisors (see below), whose sum is σ = 2217093120. Its totient is φ = 174140928.

The previous prime is 784920979. The next prime is 784921001. The reversal of 784920990 is 99029487.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (784920979) and next prime (784921001).

It is a super-2 number, since 2×784920990² = 1232201921085160200, which contains 22 as substring.

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, 1212847 + ... + 1213493.

It is an arithmetic number, because the mean of its divisors is an integer number (17321040).

Almost surely, 2^784920990 is an apocalyptic number.

784920990 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 784920990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108546560).

784920990 is an abundant number, since it is smaller than the sum of its proper divisors (1432172130).

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

784920990 is a wasteful number, since it uses less digits than its factorization.

784920990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 784920990 is about 28016.4414228503. The cubic root of 784920990 is about 922.4481856313.

The spelling of 784920990 in words is "seven hundred eighty-four million, nine hundred twenty thousand, nine hundred ninety".