78620200 has 48 divisors (see below), whose sum is σ = 186265980. Its totient is φ = 30850560.

The previous prime is 78620183. The next prime is 78620203. The reversal of 78620200 is 202687.

It can be written as a sum of positive squares in 6 ways, for example, as 50381604 + 28238596 = 7098^2 + 5314^2 .

It is a super-2 number, since 2×78620200² = 12362271696080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (78620203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6892 + ... + 14308.

Almost surely, 2^78620200 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 78620200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132990).

78620200 is an abundant number, since it is smaller than the sum of its proper divisors (107645780).

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

78620200 is a wasteful number, since it uses less digits than its factorization.

78620200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 78620200 is about 8866.8032570933. The cubic root of 78620200 is about 428.3953170590.

Adding to 78620200 its reverse (202687), we get a palindrome (78822887).

The spelling of 78620200 in words is "seventy-eight million, six hundred twenty thousand, two hundred".