96782700 has 144 divisors (see below), whose sum is σ = 338978304. Its totient is φ = 20812800.

The previous prime is 96782687. The next prime is 96782701. The reversal of 96782700 is 728769.

It is not an unprimeable number, because it can be changed into a prime (96782701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34345 + ... + 37055.

It is an arithmetic number, because the mean of its divisors is an integer number (2354016).

Almost surely, 2^96782700 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 96782700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169489152).

96782700 is an abundant number, since it is smaller than the sum of its proper divisors (242195604).

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

96782700 is a wasteful number, since it uses less digits than its factorization.

96782700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 96782700 is about 9837.8198804410. The cubic root of 96782700 is about 459.1267301159.

The spelling of 96782700 in words is "ninety-six million, seven hundred eighty-two thousand, seven hundred".