78105600 has 264 divisors, whose sum is σ = 289363920. Its totient is φ = 20643840.

The previous prime is 78105593. The next prime is 78105607. The reversal of 78105600 is 650187.

It is an interprime number because it is at equal distance from previous prime (78105593) and next prime (78105607).

It is a super-2 number, since 2×78105600² = 12200969502720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (78105607) 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, 691144 + ... + 691256.

Almost surely, 2^78105600 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 78105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144681960).

78105600 is an abundant number, since it is smaller than the sum of its proper divisors (211258320).

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

78105600 is a wasteful number, since it uses less digits than its factorization.

78105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 78105600 is about 8837.7372669705. The cubic root of 78105600 is about 427.4585986376.

Adding to 78105600 its reverse (650187), we get a palindrome (78755787).

The spelling of 78105600 in words is "seventy-eight million, one hundred five thousand, six hundred".