97766400 has 264 divisors, whose sum is σ = 345206080. Its totient is φ = 24330240.

The previous prime is 97766393. The next prime is 97766407. The reversal of 97766400 is 466779.

It is an interprime number because it is at equal distance from previous prime (97766393) and next prime (97766407).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97766407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459167 + ... + 1459233.

Almost surely, 2^97766400 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 97766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172603040).

97766400 is an abundant number, since it is smaller than the sum of its proper divisors (247439680).

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

97766400 is a wasteful number, since it uses less digits than its factorization.

97766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 97766400 is about 9887.6893155074. The cubic root of 97766400 is about 460.6770119303.

The spelling of 97766400 in words is "ninety-seven million, seven hundred sixty-six thousand, four hundred".