782906085 has 96 divisors (see below), whose sum is σ = 1574995968. Its totient is φ = 356590080.

The previous prime is 782906081. The next prime is 782906099. The reversal of 782906085 is 580609287.

It is not a de Polignac number, because 782906085 - 2² = 782906081 is a prime.

It is a super-2 number, since 2×782906085² = 1225883875860054450, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 782906085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782906081) 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, 416167 + ... + 418043.

It is an arithmetic number, because the mean of its divisors is an integer number (16406208).

Almost surely, 2^782906085 is an apocalyptic number.

It is an amenable number.

782906085 is an abundant number, since it is smaller than the sum of its proper divisors (792089883).

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

782906085 is a wasteful number, since it uses less digits than its factorization.

782906085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 782906085 is about 27980.4589847987. The cubic root of 782906085 is about 921.6581960874.

The spelling of 782906085 in words is "seven hundred eighty-two million, nine hundred six thousand, eighty-five".