774290400 has 432 divisors, whose sum is σ = 2882065536. Its totient is φ = 180111360.

The previous prime is 774290399. The next prime is 774290411. The reversal of 774290400 is 4092477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9328759 + ... + 9328841.

It is an arithmetic number, because the mean of its divisors is an integer number (6671448).

Almost surely, 2^774290400 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 774290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441032768).

774290400 is an abundant number, since it is smaller than the sum of its proper divisors (2107775136).

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

774290400 is a wasteful number, since it uses less digits than its factorization.

774290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 774290400 is about 27826.0741032579. The cubic root of 774290400 is about 918.2648454327.

The spelling of 774290400 in words is "seven hundred seventy-four million, two hundred ninety thousand, four hundred".