78072800 has 72 divisors (see below), whose sum is σ = 205283736. Its totient is φ = 28823040.

The previous prime is 78072793. The next prime is 78072811. The reversal of 78072800 is 827087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 6647 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (2851163).

Almost surely, 2^78072800 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 78072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102641868).

78072800 is an abundant number, since it is smaller than the sum of its proper divisors (127210936).

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

78072800 is a wasteful number, since it uses less digits than its factorization.

78072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 78072800 is about 8835.8813935000. The cubic root of 78072800 is about 427.3987539951.

Adding to 78072800 its reverse (827087), we get a palindrome (78899887).

The spelling of 78072800 in words is "seventy-eight million, seventy-two thousand, eight hundred".