774361728 has 128 divisors (see below), whose sum is σ = 2612016000. Its totient is φ = 221239296.

The previous prime is 774361727. The next prime is 774361787. The reversal of 774361728 is 827163477.

774361728 is a `hidden beast` number, since 7 + 7 + 4 + 3 + 617 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×774361728² = 1199272171582291968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (774361727) 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 15 ways as a sum of consecutive naturals, for example, 8188 + ... + 40196.

It is an arithmetic number, because the mean of its divisors is an integer number (20406375).

Almost surely, 2^774361728 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 774361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306008000).

774361728 is an abundant number, since it is smaller than the sum of its proper divisors (1837654272).

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

774361728 is a wasteful number, since it uses less digits than its factorization.

774361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32039 (or 32021 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 774361728 is about 27827.3557493341. The cubic root of 774361728 is about 918.2930415651.

The spelling of 774361728 in words is "seven hundred seventy-four million, three hundred sixty-one thousand, seven hundred twenty-eight".