78276456 has 80 divisors (see below), whose sum is σ = 221393700. Its totient is φ = 25837056.

The previous prime is 78276433. The next prime is 78276463. The reversal of 78276456 is 65467287.

It can be written as a sum of positive squares in 2 ways, for example, as 69455556 + 8820900 = 8334^2 + 2970^2 .

It is a super-2 number, since 2×78276456² = 12254407127839872, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72690 + ... + 73758.

Almost surely, 2^78276456 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 78276456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110696850).

78276456 is an abundant number, since it is smaller than the sum of its proper divisors (143117244).

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

78276456 is a wasteful number, since it uses less digits than its factorization.

78276456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1187 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 78276456 is about 8847.3982616360. The cubic root of 78276456 is about 427.7700602020.

The spelling of 78276456 in words is "seventy-eight million, two hundred seventy-six thousand, four hundred fifty-six".