78182048 has 96 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 31460352.

The previous prime is 78182033. The next prime is 78182059. The reversal of 78182048 is 84028187.

It is a happy number.

It is a super-2 number, since 2×78182048² = 12224865258948608, which contains 22 as substring.

It is a nialpdrome in base 14.

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, 186383 + ... + 186801.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^78182048 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 78182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

78182048 is an abundant number, since it is smaller than the sum of its proper divisors (112329952).

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

78182048 is a wasteful number, since it uses less digits than its factorization.

78182048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 78182048 is about 8842.0612981363. The cubic root of 78182048 is about 427.5980154405.

The spelling of 78182048 in words is "seventy-eight million, one hundred eighty-two thousand, forty-eight".