774043920 has 240 divisors, whose sum is σ = 2869160112. Its totient is φ = 185794560.

The previous prime is 774043891. The next prime is 774043931. The reversal of 774043920 is 29340477.

It can be written as a sum of positive squares in 8 ways, for example, as 94711824 + 679332096 = 9732^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 382752 + ... + 384768.

Almost surely, 2^774043920 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 774043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434580056).

774043920 is an abundant number, since it is smaller than the sum of its proper divisors (2095116192).

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

774043920 is a wasteful number, since it uses less digits than its factorization.

774043920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 774043920 is about 27821.6448111897. The cubic root of 774043920 is about 918.1673979549.

The spelling of 774043920 in words is "seven hundred seventy-four million, forty-three thousand, nine hundred twenty".