96770400 has 144 divisors (see below), whose sum is σ = 320635728. Its totient is φ = 25344000.

The previous prime is 96770389. The next prime is 96770411. The reversal of 96770400 is 407769.

It is an interprime number because it is at equal distance from previous prime (96770389) and next prime (96770411).

It is a congruent number.

It is an unprimeable number.

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, 146070 + ... + 146730.

It is an arithmetic number, because the mean of its divisors is an integer number (2226637).

Almost surely, 2^96770400 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 96770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160317864).

96770400 is an abundant number, since it is smaller than the sum of its proper divisors (223865328).

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

96770400 is a wasteful number, since it uses less digits than its factorization.

96770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 96770400 is about 9837.1947220740. The cubic root of 96770400 is about 459.1072793324.

The spelling of 96770400 in words is "ninety-six million, seven hundred seventy thousand, four hundred".