774144072 has 96 divisors (see below), whose sum is σ = 2283535800. Its totient is φ = 235496448.

The previous prime is 774144053. The next prime is 774144073. The reversal of 774144072 is 270441477.

It can be written as a sum of positive squares in 4 ways, for example, as 221235876 + 552908196 = 14874^2 + 23514^2 .

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

It is not an unprimeable number, because it can be changed into a prime (774144073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78658 + ... + 87950.

Almost surely, 2^774144072 is an apocalyptic number.

774144072 is a gapful number since it is divisible by the number (72) 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 774144072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141767900).

774144072 is an abundant number, since it is smaller than the sum of its proper divisors (1509391728).

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

774144072 is a wasteful number, since it uses less digits than its factorization.

774144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 774144072 is about 27823.4446465566. Note that the first 3 decimals coincide. The cubic root of 774144072 is about 918.2069961970.

The spelling of 774144072 in words is "seven hundred seventy-four million, one hundred forty-four thousand, seventy-two".