9774400 has 84 divisors (see below), whose sum is σ = 24803100. Its totient is φ = 3788800.

The previous prime is 9774397. The next prime is 9774409. The reversal of 9774400 is 44779.

It can be written as a sum of positive squares in 6 ways, for example, as 3504384 + 6270016 = 1872^2 + 2504^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9774409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65526 + ... + 65674.

It is an arithmetic number, because the mean of its divisors is an integer number (295275).

Almost surely, 2^9774400 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 9774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401550).

9774400 is an abundant number, since it is smaller than the sum of its proper divisors (15028700).

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

9774400 is a wasteful number, since it uses less digits than its factorization.

9774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 9774400 is about 3126.4036847471. The cubic root of 9774400 is about 213.8109956679.

It can be divided in two parts, 9 and 774400, that multiplied together give a square (6969600 = 2640²).

The spelling of 9774400 in words is "nine million, seven hundred seventy-four thousand, four hundred".