97794400 has 72 divisors (see below), whose sum is σ = 260467704. Its totient is φ = 35558400.

The previous prime is 97794383. The next prime is 97794401. The reversal of 97794400 is 449779.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97794401) 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, 3244 + ... + 14356.

It is an arithmetic number, because the mean of its divisors is an integer number (3617607).

Almost surely, 2^97794400 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 97794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233852).

97794400 is an abundant number, since it is smaller than the sum of its proper divisors (162673304).

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

97794400 is a wasteful number, since it uses less digits than its factorization.

97794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 97794400 is about 9889.1051162378. The cubic root of 97794400 is about 460.7209865649.

It can be divided in two parts, 97 and 794400, that added together give a palindrome (794497).

The spelling of 97794400 in words is "ninety-seven million, seven hundred ninety-four thousand, four hundred".