78489600 has 288 divisors, whose sum is σ = 300605760. Its totient is φ = 17694720.

The previous prime is 78489571. The next prime is 78489611. The reversal of 78489600 is 698487.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1075164 + ... + 1075236.

It is an arithmetic number, because the mean of its divisors is an integer number (1043770).

Almost surely, 2^78489600 is an apocalyptic number.

78489600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

78489600 is an abundant number, since it is smaller than the sum of its proper divisors (222116160).

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

78489600 is a wasteful number, since it uses less digits than its factorization.

78489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 78489600 is about 8859.4356479406. The cubic root of 78489600 is about 428.1579758641.

The spelling of 78489600 in words is "seventy-eight million, four hundred eighty-nine thousand, six hundred".