78280800 has 216 divisors, whose sum is σ = 277341624. Its totient is φ = 19169280.

The previous prime is 78280793. The next prime is 78280819. The reversal of 78280800 is 808287.

It is a super-2 number, since 2×78280800² = 12255767297280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405504 + ... + 405696.

It is an arithmetic number, because the mean of its divisors is an integer number (1283989).

Almost surely, 2^78280800 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 78280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138670812).

78280800 is an abundant number, since it is smaller than the sum of its proper divisors (199060824).

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

78280800 is a wasteful number, since it uses less digits than its factorization.

78280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 78280800 is about 8847.6437541302. The cubic root of 78280800 is about 427.7779731763. Note that the first 3 decimals are identical.

It can be divided in two parts, 78 and 280800, that multiplied together give a square (21902400 = 4680²).

The spelling of 78280800 in words is "seventy-eight million, two hundred eighty thousand, eight hundred".