78397248 has 112 divisors (see below), whose sum is σ = 222235776. Its totient is φ = 24330240.

The previous prime is 78397247. The next prime is 78397259. The reversal of 78397248 is 84279387.

It is a super-2 number, since 2×78397248² = 12292256987947008, which contains 22 as substring.

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

Its product of digits (677376) is a multiple of the sum of its prime factors (512).

It is a junction number, because it is equal to n+sod(n) for n = 78397197 and 78397206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78397247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180840 + ... + 181272.

It is an arithmetic number, because the mean of its divisors is an integer number (1984248).

Almost surely, 2^78397248 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 78397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111117888).

78397248 is an abundant number, since it is smaller than the sum of its proper divisors (143838528).

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

78397248 is a wasteful number, since it uses less digits than its factorization.

78397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

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

The square root of 78397248 is about 8854.2220437484. Note that the first 3 decimals coincide. The cubic root of 78397248 is about 427.9899843349.

The spelling of 78397248 in words is "seventy-eight million, three hundred ninety-seven thousand, two hundred forty-eight".