774400 has 81 divisors (see below), whose sum is σ = 2106853. Its totient is φ = 281600.

The previous prime is 774377. The next prime is 774427. The reversal of 774400 is 4477.

774400 = T₁₁₉ + T₁₂₀ + ... + T₁₈₄.

It is a happy number.

The square root of 774400 is 880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 495616 = 528^2 + 704^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70395 + ... + 70405.

2⁷⁷⁴⁴⁰⁰ is an apocalyptic number.

774400 is the 880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 774400

774400 is an abundant number, since it is smaller than the sum of its proper divisors (1332453).

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

774400 is a wasteful number, since it uses less digits than its factorization.

774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The cubic root of 774400 is about 91.8308169866.

Multiplying 774400 by its product of nonzero digits (784), we get a square (607129600 = 24640²).

Adding to 774400 its reverse (4477), we get a palindrome (778877).

The spelling of 774400 in words is "seven hundred seventy-four thousand, four hundred", and thus it is an iban number.