78937248 has 96 divisors (see below), whose sum is σ = 234964800. Its totient is φ = 23003136.

The previous prime is 78937237. The next prime is 78937277. The reversal of 78937248 is 84273987.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 78937197 and 78937206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22048 + ... + 25376.

It is an arithmetic number, because the mean of its divisors is an integer number (2447550).

Almost surely, 2^78937248 is an apocalyptic number.

78937248 is a gapful number since it is divisible by the number (78) 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 78937248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117482400).

78937248 is an abundant number, since it is smaller than the sum of its proper divisors (156027552).

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

78937248 is a wasteful number, since it uses less digits than its factorization.

78937248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3366 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 78937248 is about 8884.6636402286. The cubic root of 78937248 is about 428.9704012919.

The spelling of 78937248 in words is "seventy-eight million, nine hundred thirty-seven thousand, two hundred forty-eight".