78375456 has 72 divisors (see below), whose sum is σ = 234627120. Its totient is φ = 24748416.

The previous prime is 78375403. The next prime is 78375497. The reversal of 78375456 is 65457387.

78375456 is a `hidden beast` number, since 78 + 37 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78375456² = 12285424206415872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1690 + ... + 12633.

It is an arithmetic number, because the mean of its divisors is an integer number (3258710).

Almost surely, 2^78375456 is an apocalyptic number.

78375456 is a gapful number since it is divisible by the number (76) 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 78375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117313560).

78375456 is an abundant number, since it is smaller than the sum of its proper divisors (156251664).

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

78375456 is a wasteful number, since it uses less digits than its factorization.

78375456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14358 (or 14347 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 78375456 is about 8852.9913588572. The cubic root of 78375456 is about 427.9503246857.

The spelling of 78375456 in words is "seventy-eight million, three hundred seventy-five thousand, four hundred fifty-six".