9790400 has 84 divisors (see below), whose sum is σ = 25039320. Its totient is φ = 3763200.

The previous prime is 9790399. The next prime is 9790409. The reversal of 9790400 is 40979.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9790409) 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, 46295 + ... + 46505.

Almost surely, 2^9790400 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 9790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519660).

9790400 is an abundant number, since it is smaller than the sum of its proper divisors (15248920).

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

9790400 is a wasteful number, since it uses less digits than its factorization.

9790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 9790400 is about 3128.9614890567. The cubic root of 9790400 is about 213.9275965503.

The spelling of 9790400 in words is "nine million, seven hundred ninety thousand, four hundred".