78117600 has 216 divisors, whose sum is σ = 280528920. Its totient is φ = 18867200.

The previous prime is 78117581. The next prime is 78117623. The reversal of 78117600 is 671187.

It is a super-2 number, since 2×78117600² = 12204718859520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 290266 + ... + 290534.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^78117600 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 78117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140264460).

78117600 is an abundant number, since it is smaller than the sum of its proper divisors (202411320).

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

78117600 is a wasteful number, since it uses less digits than its factorization.

78117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 78117600 is about 8838.4161477043. The cubic root of 78117600 is about 427.4804888329.

Adding to 78117600 its reverse (671187), we get a palindrome (78788787).

It can be divided in two parts, 781 and 17600, that added together give a palindrome (18381).

The spelling of 78117600 in words is "seventy-eight million, one hundred seventeen thousand, six hundred".