78025248 has 288 divisors, whose sum is σ = 281534400. Its totient is φ = 20901888.

The previous prime is 78025201. The next prime is 78025253. The reversal of 78025248 is 84252087.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804336 + ... + 804432.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 2^78025248 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 78025248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

78025248 is an abundant number, since it is smaller than the sum of its proper divisors (203509152).

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

78025248 is a wasteful number, since it uses less digits than its factorization.

78025248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 78025248 is about 8833.1901372041. The cubic root of 78025248 is about 427.3119640881.

The spelling of 78025248 in words is "seventy-eight million, twenty-five thousand, two hundred forty-eight".