78281300 has 72 divisors (see below), whose sum is σ = 177431352. Its totient is φ = 29952000.

The previous prime is 78281297. The next prime is 78281321. The reversal of 78281300 is 318287.

It can be written as a sum of positive squares in 12 ways, for example, as 77510416 + 770884 = 8804^2 + 878^2 .

It is a super-2 number, since 2×78281300² = 12255923859380000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 249944 + ... + 250256.

Almost surely, 2^78281300 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 78281300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88715676).

78281300 is an abundant number, since it is smaller than the sum of its proper divisors (99150052).

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

78281300 is a wasteful number, since it uses less digits than its factorization.

78281300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 78281300 is about 8847.6720101957. The cubic root of 78281300 is about 427.7788839511.

Adding to 78281300 its reverse (318287), we get a palindrome (78599587).

The spelling of 78281300 in words is "seventy-eight million, two hundred eighty-one thousand, three hundred".