78278200 has 384 divisors, whose sum is σ = 269982720. Its totient is φ = 20275200.

The previous prime is 78278197. The next prime is 78278201. The reversal of 78278200 is 287287.

It is a super-2 number, since 2×78278200² = 12254953190480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78278201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3403389 + ... + 3403411.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^78278200 is an apocalyptic number.

78278200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78278200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

78278200 is an abundant number, since it is smaller than the sum of its proper divisors (191704520).

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

78278200 is a wasteful number, since it uses less digits than its factorization.

78278200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 78278200 is about 8847.4968211353. The cubic root of 78278200 is about 427.7732370850.

It can be divided in two parts, 782 and 78200, that multiplied together give a square (61152400 = 7820²).

The spelling of 78278200 in words is "seventy-eight million, two hundred seventy-eight thousand, two hundred".