78178464 has 288 divisors, whose sum is σ = 289860480. Its totient is φ = 19408896.

The previous prime is 78178439. The next prime is 78178469. The reversal of 78178464 is 46487187.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78178464² = 12223744466798592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (78178469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497874 + ... + 498030.

It is an arithmetic number, because the mean of its divisors is an integer number (1006460).

Almost surely, 2^78178464 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 78178464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144930240).

78178464 is an abundant number, since it is smaller than the sum of its proper divisors (211682016).

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

78178464 is a wasteful number, since it uses less digits than its factorization.

78178464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 78178464 is about 8841.8586281392. The cubic root of 78178464 is about 427.5914813970.

The spelling of 78178464 in words is "seventy-eight million, one hundred seventy-eight thousand, four hundred sixty-four".