775082880 has 384 divisors, whose sum is σ = 3147711840. Its totient is φ = 173260800.

The previous prime is 775082873. The next prime is 775082899. The reversal of 775082880 is 88280577.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 823210 + ... + 824150.

Almost surely, 2^775082880 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 775082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573855920).

775082880 is an abundant number, since it is smaller than the sum of its proper divisors (2372628960).

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

775082880 is a wasteful number, since it uses less digits than its factorization.

775082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 775082880 is about 27840.3103430978. The cubic root of 775082880 is about 918.5780175098.

The spelling of 775082880 in words is "seven hundred seventy-five million, eighty-two thousand, eight hundred eighty".