78254800 has 120 divisors (see below), whose sum is σ = 205846200. Its totient is φ = 28416000.

The previous prime is 78254779. The next prime is 78254837. The reversal of 78254800 is 845287.

It can be written as a sum of positive squares in 12 ways, for example, as 29030544 + 49224256 = 5388^2 + 7016^2 .

It is a super-2 number, since 2×78254800² = 12247627446080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525126 + ... + 525274.

It is an arithmetic number, because the mean of its divisors is an integer number (1715385).

Almost surely, 2^78254800 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 78254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102923100).

78254800 is an abundant number, since it is smaller than the sum of its proper divisors (127591400).

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

78254800 is a wasteful number, since it uses less digits than its factorization.

78254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 78254800 is about 8846.1743143576. The cubic root of 78254800 is about 427.7306075435.

The spelling of 78254800 in words is "seventy-eight million, two hundred fifty-four thousand, eight hundred".