78300100 has 36 divisors (see below), whose sum is σ = 170833684. Its totient is φ = 31150080.

The previous prime is 78300091. The next prime is 78300109. The reversal of 78300100 is 100387.

It is an interprime number because it is at equal distance from previous prime (78300091) and next prime (78300109).

It can be written as a sum of positive squares in 6 ways, for example, as 5607424 + 72692676 = 2368^2 + 8526^2 .

It is a super-2 number, since 2×78300100² = 12261811320020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78300109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17272 + ... + 21328.

Almost surely, 2^78300100 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 78300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85416842).

78300100 is an abundant number, since it is smaller than the sum of its proper divisors (92533584).

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

78300100 is a wasteful number, since it uses less digits than its factorization.

78300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 78300100 is about 8848.7343727790. The cubic root of 78300100 is about 427.8131262682.

Adding to 78300100 its reverse (100387), we get a palindrome (78400487).

It can be divided in two parts, 78300 and 100, that added together give a square (78400 = 280²).

The spelling of 78300100 in words is "seventy-eight million, three hundred thousand, one hundred".