78734100 has 108 divisors (see below), whose sum is σ = 240755424. Its totient is φ = 19863360.

The previous prime is 78734099. The next prime is 78734111. The reversal of 78734100 is 143787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107937 + ... + 108663.

Almost surely, 2^78734100 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 78734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

78734100 is an abundant number, since it is smaller than the sum of its proper divisors (162021324).

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

78734100 is a wasteful number, since it uses less digits than its factorization.

78734100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 78734100 is about 8873.2237659151. The cubic root of 78734100 is about 428.6020946311.

Adding to 78734100 its reverse (143787), we get a palindrome (78877887).

The spelling of 78734100 in words is "seventy-eight million, seven hundred thirty-four thousand, one hundred".