78412500 has 216 divisors, whose sum is σ = 268717176. Its totient is φ = 19200000.

The previous prime is 78412441. The next prime is 78412519. The reversal of 78412500 is 521487.

78412500 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 77686596 + 725904 = 8814^2 + 852^2 .

It is a super-2 number, since 2×78412500² = 12297040312500000, which contains 22 as substring.

78412500 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1912480 + ... + 1912520.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 2^78412500 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 78412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134358588).

78412500 is an abundant number, since it is smaller than the sum of its proper divisors (190304676).

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

78412500 is a wasteful number, since it uses less digits than its factorization.

78412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 78412500 is about 8855.0832858873. The cubic root of 78412500 is about 428.0177373498.

Adding to 78412500 its reverse (521487), we get a palindrome (78933987).

The spelling of 78412500 in words is "seventy-eight million, four hundred twelve thousand, five hundred".