96376800 has 144 divisors (see below), whose sum is σ = 337947120. Its totient is φ = 23715840.

The previous prime is 96376793. The next prime is 96376811. The reversal of 96376800 is 867369.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29656 + ... + 32744.

It is an arithmetic number, because the mean of its divisors is an integer number (2346855).

Almost surely, 2^96376800 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 96376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168973560).

96376800 is an abundant number, since it is smaller than the sum of its proper divisors (241570320).

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

96376800 is a wasteful number, since it uses less digits than its factorization.

96376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 96376800 is about 9817.1686345911. The cubic root of 96376800 is about 458.4839820667.

The spelling of 96376800 in words is "ninety-six million, three hundred seventy-six thousand, eight hundred".