774968040 has 256 divisors, whose sum is σ = 3220992000. Its totient is φ = 161015040.

The previous prime is 774968027. The next prime is 774968041. The reversal of 774968040 is 40869477.

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

It is not an unprimeable number, because it can be changed into a prime (774968041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 78501 + ... + 87819.

It is an arithmetic number, because the mean of its divisors is an integer number (12582000).

Almost surely, 2^774968040 is an apocalyptic number.

774968040 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 774968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610496000).

774968040 is an abundant number, since it is smaller than the sum of its proper divisors (2446023960).

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

774968040 is a wasteful number, since it uses less digits than its factorization.

774968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 774968040 is about 27838.2477896868. The cubic root of 774968040 is about 918.5326482929.

The spelling of 774968040 in words is "seven hundred seventy-four million, nine hundred sixty-eight thousand, forty".