78323300 has 54 divisors (see below), whose sum is σ = 186846114. Its totient is φ = 28476800.

The previous prime is 78323299. The next prime is 78323327. The reversal of 78323300 is 332387.

It can be written as a sum of positive squares in 3 ways, for example, as 495616 + 77827684 = 704^2 + 8822^2 .

It is a super-2 number, since 2×78323300² = 12269078645780000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78323300.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 8864 + ... + 15336.

Almost surely, 2^78323300 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 78323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93423057).

78323300 is an abundant number, since it is smaller than the sum of its proper divisors (108522814).

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

78323300 is a wasteful number, since it uses less digits than its factorization.

78323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 78323300 is about 8850.0451976247. The cubic root of 78323300 is about 427.8553751901.

Adding to 78323300 its reverse (332387), we get a palindrome (78655687).

The spelling of 78323300 in words is "seventy-eight million, three hundred twenty-three thousand, three hundred".