78382480 has 40 divisors (see below), whose sum is σ = 198808704. Its totient is φ = 28502400.

The previous prime is 78382453. The next prime is 78382487. The reversal of 78382480 is 8428387.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×78382480² = 12287626341900800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (78382487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43656 + ... + 45415.

Almost surely, 2^78382480 is an apocalyptic number.

It is an amenable number.

78382480 is an abundant number, since it is smaller than the sum of its proper divisors (120426224).

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

78382480 is a wasteful number, since it uses less digits than its factorization.

78382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89095 (or 89089 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 78382480 is about 8853.3880520397. The cubic root of 78382480 is about 427.9631085913.

The spelling of 78382480 in words is "seventy-eight million, three hundred eighty-two thousand, four hundred eighty".