78384600 has 144 divisors (see below), whose sum is σ = 300895920. Its totient is φ = 17913600.

The previous prime is 78384599. The next prime is 78384613. The reversal of 78384600 is 648387.

It is a super-2 number, since 2×78384600² = 12288291034320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9490 + ... + 15710.

It is an arithmetic number, because the mean of its divisors is an integer number (2089555).

Almost surely, 2^78384600 is an apocalyptic number.

78384600 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 78384600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150447960).

78384600 is an abundant number, since it is smaller than the sum of its proper divisors (222511320).

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

78384600 is a wasteful number, since it uses less digits than its factorization.

78384600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78384600 is about 8853.5077794059. The cubic root of 78384600 is about 427.9669669093.

The spelling of 78384600 in words is "seventy-eight million, three hundred eighty-four thousand, six hundred".