906764880 has 320 divisors, whose sum is σ = 3464921088. Its totient is φ = 191600640.

The previous prime is 906764879. The next prime is 906764899. The reversal of 906764880 is 88467609.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1197462 + ... + 1198218.

Almost surely, 2^906764880 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 906764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732460544).

906764880 is an abundant number, since it is smaller than the sum of its proper divisors (2558156208).

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

906764880 is a wasteful number, since it uses less digits than its factorization.

906764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 906764880 is about 30112.5369240122. The cubic root of 906764880 is about 967.9023932273.

The spelling of 906764880 in words is "nine hundred six million, seven hundred sixty-four thousand, eight hundred eighty".