774465120 has 288 divisors, whose sum is σ = 3105726624. Its totient is φ = 173260800.

The previous prime is 774465091. The next prime is 774465151. The reversal of 774465120 is 21564477.

774465120 is a `hidden beast` number, since 7 + 74 + 465 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×774465120² = 1199592444193228800, which contains 22 as substring.

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

It is a congruent number.

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, 204040 + ... + 207800.

It is an arithmetic number, because the mean of its divisors is an integer number (10783773).

Almost surely, 2^774465120 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 774465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552863312).

774465120 is an abundant number, since it is smaller than the sum of its proper divisors (2331261504).

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

774465120 is a wasteful number, since it uses less digits than its factorization.

774465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 774465120 is about 27829.2134276195. The cubic root of 774465120 is about 918.3339096010. Note that the first 3 decimals are identical.

The spelling of 774465120 in words is "seven hundred seventy-four million, four hundred sixty-five thousand, one hundred twenty".