78096300 has 72 divisors (see below), whose sum is σ = 239265936. Its totient is φ = 19599360.

The previous prime is 78096259. The next prime is 78096301. The reversal of 78096300 is 369087.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78096301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557 + ... + 12756.

It is an arithmetic number, because the mean of its divisors is an integer number (3323138).

Almost surely, 2^78096300 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 78096300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119632968).

78096300 is an abundant number, since it is smaller than the sum of its proper divisors (161169636).

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

78096300 is a wasteful number, since it uses less digits than its factorization.

78096300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347 (or 15340 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 78096300 is about 8837.2110985310. The cubic root of 78096300 is about 427.4416321940.

The spelling of 78096300 in words is "seventy-eight million, ninety-six thousand, three hundred".