785674890 has 768 divisors, whose sum is σ = 3170119680. Its totient is φ = 134369280.

The previous prime is 785674867. The next prime is 785674927. The reversal of 785674890 is 98476587.

785674890 is a `hidden beast` number, since 78 + 567 + 4 + 8 + 9 + 0 = 666.

785674890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41351301 + ... + 41351319.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^785674890 is an apocalyptic number.

785674890 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 785674890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

785674890 is an abundant number, since it is smaller than the sum of its proper divisors (2384444790).

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

785674890 is a wasteful number, since it uses less digits than its factorization.

785674890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 785674890 is about 28029.8927932306. The cubic root of 785674890 is about 922.7434217824.

The spelling of 785674890 in words is "seven hundred eighty-five million, six hundred seventy-four thousand, eight hundred ninety".