774264960 has 512 divisors, whose sum is σ = 3237235200. Its totient is φ = 171196416.

The previous prime is 774264901. The next prime is 774264973. The reversal of 774264960 is 69462477.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4475434 + ... + 4475606.

It is an arithmetic number, because the mean of its divisors is an integer number (6322725).

Almost surely, 2^774264960 is an apocalyptic number.

774264960 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 774264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618617600).

774264960 is an abundant number, since it is smaller than the sum of its proper divisors (2462970240).

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

774264960 is a wasteful number, since it uses less digits than its factorization.

774264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 774264960 is about 27825.6169742919. The cubic root of 774264960 is about 918.2547885197.

The spelling of 774264960 in words is "seven hundred seventy-four million, two hundred sixty-four thousand, nine hundred sixty".