775288920 has 256 divisors, whose sum is σ = 2890137600. Its totient is φ = 162362880.

The previous prime is 775288919. The next prime is 775288933. The reversal of 775288920 is 29882577.

It is a self number, because there is not a number n which added to its sum of digits gives 775288920.

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, 493977 + ... + 495543.

It is an arithmetic number, because the mean of its divisors is an integer number (11289600).

Almost surely, 2^775288920 is an apocalyptic number.

775288920 is a gapful number since it is divisible by the number (70) 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 775288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445068800).

775288920 is an abundant number, since it is smaller than the sum of its proper divisors (2114848680).

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

775288920 is a wasteful number, since it uses less digits than its factorization.

775288920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 775288920 is about 27844.0104869970. The cubic root of 775288920 is about 918.6594053852.

The spelling of 775288920 in words is "seven hundred seventy-five million, two hundred eighty-eight thousand, nine hundred twenty".