78724200 has 96 divisors (see below), whose sum is σ = 245743200. Its totient is φ = 20847360.

The previous prime is 78724199. The next prime is 78724207. The reversal of 78724200 is 242787.

It is a super-3 number, since 3×78724200³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78724207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107034 + ... + 107766.

It is an arithmetic number, because the mean of its divisors is an integer number (2559825).

Almost surely, 2^78724200 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 78724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122871600).

78724200 is an abundant number, since it is smaller than the sum of its proper divisors (167019000).

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

78724200 is a wasteful number, since it uses less digits than its factorization.

78724200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 78724200 is about 8872.6658902497. The cubic root of 78724200 is about 428.5841297823.

Adding to 78724200 its reverse (242787), we get a palindrome (78966987).

The spelling of 78724200 in words is "seventy-eight million, seven hundred twenty-four thousand, two hundred".