78275880 has 96 divisors (see below), whose sum is σ = 256988160. Its totient is φ = 20661120.

The previous prime is 78275861. The next prime is 78275893. The reversal of 78275880 is 8857287.

It is a happy number.

It is a super-3 number, since 3×78275880³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 36025 + ... + 38135.

It is an arithmetic number, because the mean of its divisors is an integer number (2676960).

Almost surely, 2^78275880 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 78275880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128494080).

78275880 is an abundant number, since it is smaller than the sum of its proper divisors (178712280).

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

78275880 is a wasteful number, since it uses less digits than its factorization.

78275880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 78275880 is about 8847.3657096336. The cubic root of 78275880 is about 427.7690109458.

The spelling of 78275880 in words is "seventy-eight million, two hundred seventy-five thousand, eight hundred eighty".