78126784 has 56 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 36193536.

The previous prime is 78126779. The next prime is 78126793. The reversal of 78126784 is 48762187.

It is a super-2 number, since 2×78126784² = 12207588756365312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78126784.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56469 + ... + 57835.

Almost surely, 2^78126784 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 78126784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

78126784 is an abundant number, since it is smaller than the sum of its proper divisors (88659776).

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

78126784 is a wasteful number, since it uses less digits than its factorization.

78126784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1435 counting only the distinct ones).

The product of its digits is 150528, while the sum is 43.

The square root of 78126784 is about 8838.9356825355. The cubic root of 78126784 is about 427.4972406146.

The spelling of 78126784 in words is "seventy-eight million, one hundred twenty-six thousand, seven hundred eighty-four".