96078720 has 128 divisors (see below), whose sum is σ = 309133440. Its totient is φ = 25380864.

The previous prime is 96078701. The next prime is 96078743. The reversal of 96078720 is 2787069.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×96078720² = 18462240873676800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 312807 + ... + 313113.

It is an arithmetic number, because the mean of its divisors is an integer number (2415105).

Almost surely, 2^96078720 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 96078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154566720).

96078720 is an abundant number, since it is smaller than the sum of its proper divisors (213054720).

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

96078720 is a wasteful number, since it uses less digits than its factorization.

96078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

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

The square root of 96078720 is about 9801.9753111299. The cubic root of 96078720 is about 458.0108182516.

The spelling of 96078720 in words is "ninety-six million, seventy-eight thousand, seven hundred twenty".