955766880 has 288 divisors, whose sum is σ = 3470070240. Its totient is φ = 238878720.

The previous prime is 955766857. The next prime is 955766887. The reversal of 955766880 is 88667559.

955766880 is a `hidden beast` number, since 9 + 5 + 576 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (955766887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4952064 + ... + 4952256.

It is an arithmetic number, because the mean of its divisors is an integer number (12048855).

Almost surely, 2^955766880 is an apocalyptic number.

955766880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 955766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735035120).

955766880 is an abundant number, since it is smaller than the sum of its proper divisors (2514303360).

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

955766880 is a wasteful number, since it uses less digits than its factorization.

955766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 955766880 is about 30915.4796178225. The cubic root of 955766880 is about 985.0327249986.

The spelling of 955766880 in words is "nine hundred fifty-five million, seven hundred sixty-six thousand, eight hundred eighty".