78775200 has 288 divisors, whose sum is σ = 326229120. Its totient is φ = 17971200.

The previous prime is 78775189. The next prime is 78775201. The reversal of 78775200 is 257787.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78775201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150940 + ... + 151460.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740).

Almost surely, 2^78775200 is an apocalyptic number.

78775200 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 78775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

78775200 is an abundant number, since it is smaller than the sum of its proper divisors (247453920).

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

78775200 is a wasteful number, since it uses less digits than its factorization.

78775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 78775200 is about 8875.5394202268. The cubic root of 78775200 is about 428.6766598737.

The spelling of 78775200 in words is "seventy-eight million, seven hundred seventy-five thousand, two hundred".