78496000 has 144 divisors (see below), whose sum is σ = 214276608. Its totient is φ = 28416000.

The previous prime is 78495997. The next prime is 78496013. The reversal of 78496000 is 69487.

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, 351889 + ... + 352111.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^78496000 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 78496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

78496000 is an abundant number, since it is smaller than the sum of its proper divisors (135780608).

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

78496000 is a wasteful number, since it uses less digits than its factorization.

78496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 78496000 is about 8859.7968373998. The cubic root of 78496000 is about 428.1696128053.

The spelling of 78496000 in words is "seventy-eight million, four hundred ninety-six thousand".