906780000 has 480 divisors, whose sum is σ = 3627638784. Its totient is φ = 193536000.

The previous prime is 906779987. The next prime is 906780011. The reversal of 906780000 is 87609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 906780000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139937 + ... + 7140063.

Almost surely, 2^906780000 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 906780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813819392).

906780000 is an abundant number, since it is smaller than the sum of its proper divisors (2720858784).

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

906780000 is a wasteful number, since it uses less digits than its factorization.

906780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

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

The square root of 906780000 is about 30112.7879811883. The cubic root of 906780000 is about 967.9077730132.

The spelling of 906780000 in words is "nine hundred six million, seven hundred eighty thousand".