906476780 has 96 divisors (see below), whose sum is σ = 2194698240. Its totient is φ = 311386880.

The previous prime is 906476777. The next prime is 906476783. The reversal of 906476780 is 87674609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (906476777) and next prime (906476783).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (906476783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298349 + ... + 301371.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^906476780 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 906476780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097349120).

906476780 is an abundant number, since it is smaller than the sum of its proper divisors (1288221460).

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

906476780 is a wasteful number, since it uses less digits than its factorization.

906476780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 906476780 is about 30107.7528221553. The cubic root of 906476780 is about 967.7998741056.

The spelling of 906476780 in words is "nine hundred six million, four hundred seventy-six thousand, seven hundred eighty".