78118700 has 72 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 27784000.

The previous prime is 78118679. The next prime is 78118727. The reversal of 78118700 is 781187.

It is a super-2 number, since 2×78118700² = 12205062579380000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50945 + ... + 52455.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^78118700 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 78118700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

78118700 is an abundant number, since it is smaller than the sum of its proper divisors (110869204).

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

78118700 is a wasteful number, since it uses less digits than its factorization.

78118700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

The square root of 78118700 is about 8838.4783758292. The cubic root of 78118700 is about 427.4824953219.

Adding to 78118700 its reverse (781187), we get a palindrome (78899887).

Multiplying 78118700 by its reverse (781187), we get a square (61025312896900 = 7811870²).

78118700 divided by its reverse (781187) gives a square (100 = 10²).

The spelling of 78118700 in words is "seventy-eight million, one hundred eighteen thousand, seven hundred".