785790090 has 192 divisors, whose sum is σ = 2219443200. Its totient is φ = 192471552.

The previous prime is 785790079. The next prime is 785790097. The reversal of 785790090 is 90097587.

785790090 is a `hidden beast` number, since 78 + 579 + 0 + 0 + 9 + 0 = 666.

785790090 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 (45).

It is not an unprimeable number, because it can be changed into a prime (785790097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7628979 + ... + 7629081.

It is an arithmetic number, because the mean of its divisors is an integer number (11559600).

Almost surely, 2^785790090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785790090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109721600).

785790090 is an abundant number, since it is smaller than the sum of its proper divisors (1433653110).

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

785790090 is a wasteful number, since it uses less digits than its factorization.

785790090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 785790090 is about 28031.9476669032. The cubic root of 785790090 is about 922.7885188272.

The spelling of 785790090 in words is "seven hundred eighty-five million, seven hundred ninety thousand, ninety".