78184480 has 96 divisors (see below), whose sum is σ = 208147968. Its totient is φ = 27494400.

The previous prime is 78184459. The next prime is 78184489. The reversal of 78184480 is 8448187.

It is a super-2 number, since 2×78184480² = 12225625825740800, which contains 22 as substring.

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 (78184489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53844 + ... + 55276.

It is an arithmetic number, because the mean of its divisors is an integer number (2168208).

Almost surely, 2^78184480 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 78184480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104073984).

78184480 is an abundant number, since it is smaller than the sum of its proper divisors (129963488).

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

78184480 is a wasteful number, since it uses less digits than its factorization.

78184480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 78184480 is about 8842.1988215602. The cubic root of 78184480 is about 427.6024491420.

The spelling of 78184480 in words is "seventy-eight million, one hundred eighty-four thousand, four hundred eighty".