78375200 has 54 divisors (see below), whose sum is σ = 191946699. Its totient is φ = 31249920.

The previous prime is 78375169. The next prime is 78375203. The reversal of 78375200 is 257387.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 300304 + 78074896 = 548^2 + 8836^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6260.

It is a super-2 number, since 2×78375200² = 12285343950080000, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78375203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 250244 + ... + 250556.

Almost surely, 2^78375200 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 78375200

78375200 is an abundant number, since it is smaller than the sum of its proper divisors (113571499).

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

78375200 is an equidigital number, since it uses as much as digits as its factorization.

78375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 78375200 is about 8852.9769004556. The cubic root of 78375200 is about 427.9498587431.

Multiplying 78375200 by its sum of digits (32), we get a square (2508006400 = 50080²).

78375200 divided by its sum of digits (32) gives a square (2449225 = 1565²).

The spelling of 78375200 in words is "seventy-eight million, three hundred seventy-five thousand, two hundred".