78285600 has 216 divisors, whose sum is σ = 281513232. Its totient is φ = 20467200.

The previous prime is 78285593. The next prime is 78285601. The reversal of 78285600 is 658287.

78285600 is a `hidden beast` number, since 78 + 28 + 560 + 0 = 666.

It is a super-2 number, since 2×78285600² = 12257270334720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78285601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 597535 + ... + 597665.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^78285600 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 78285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140756616).

78285600 is an abundant number, since it is smaller than the sum of its proper divisors (203227632).

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

78285600 is a wasteful number, since it uses less digits than its factorization.

78285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 78285600 is about 8847.9150086334. The cubic root of 78285600 is about 427.7867164540.

The spelling of 78285600 in words is "seventy-eight million, two hundred eighty-five thousand, six hundred".