78267984 has 80 divisors (see below), whose sum is σ = 212932800. Its totient is φ = 24736768.

The previous prime is 78267979. The next prime is 78267991. The reversal of 78267984 is 48976287.

It is a super-2 number, since 2×78267984² = 12251754638848512, which contains 22 as substring.

It is a congruent number.

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, 81652 + ... + 82604.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 2^78267984 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 78267984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106466400).

78267984 is an abundant number, since it is smaller than the sum of its proper divisors (134664816).

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

78267984 is a wasteful number, since it uses less digits than its factorization.

78267984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 78267984 is about 8846.9194638586. The cubic root of 78267984 is about 427.7546268738.

The spelling of 78267984 in words is "seventy-eight million, two hundred sixty-seven thousand, nine hundred eighty-four".