78382080 has 352 divisors, whose sum is σ = 322279680. Its totient is φ = 17915904.

The previous prime is 78382061. The next prime is 78382081. The reversal of 78382080 is 8028387.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (3!)³.

It is a super-2 number, since 2×78382080² = 12287500930252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (78382081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11197437 + ... + 11197443.

Almost surely, 2^78382080 is an apocalyptic number.

78382080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161139840).

78382080 is an abundant number, since it is smaller than the sum of its proper divisors (243897600).

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

78382080 is an frugal number, since it uses more digits than its factorization.

78382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78382080 is about 8853.3654617891. The cubic root of 78382080 is about 427.9623805989.

The spelling of 78382080 in words is "seventy-eight million, three hundred eighty-two thousand, eighty".