78125200 has 60 divisors (see below), whose sum is σ = 198754020. Its totient is φ = 29409280.

The previous prime is 78125197. The next prime is 78125279. The reversal of 78125200 is 252187.

It can be written as a sum of positive squares in 6 ways, for example, as 1527696 + 76597504 = 1236^2 + 8752^2 .

It is a super-2 number, since 2×78125200² = 12207093750080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 12544.

It is an arithmetic number, because the mean of its divisors is an integer number (3312567).

Almost surely, 2^78125200 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 78125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99377010).

78125200 is an abundant number, since it is smaller than the sum of its proper divisors (120628820).

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

78125200 is a wasteful number, since it uses less digits than its factorization.

78125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 78125200 is about 8838.8460785331. The cubic root of 78125200 is about 427.4943514637.

Adding to 78125200 its reverse (252187), we get a palindrome (78377387).

It can be divided in two parts, 78125 and 200, that multiplied together give a cube (15625000 = 250³).

The spelling of 78125200 in words is "seventy-eight million, one hundred twenty-five thousand, two hundred".