906780 has 96 divisors (see below), whose sum is σ = 3096576. Its totient is φ = 193536.

The previous prime is 906779. The next prime is 906793. The reversal of 906780 is 87609.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7077 + ... + 7203.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2⁹⁰⁶⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548288).

906780 is an abundant number, since it is smaller than the sum of its proper divisors (2189796).

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

906780 is a wasteful number, since it uses less digits than its factorization.

906780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 906780 is about 952.2499671830. The cubic root of 906780 is about 96.7907773013.

The spelling of 906780 in words is "nine hundred six thousand, seven hundred eighty".