78056020 has 72 divisors (see below), whose sum is σ = 199027584. Its totient is φ = 25591104.

The previous prime is 78055987. The next prime is 78056039. The reversal of 78056020 is 2065087.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 78056020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20809 + ... + 24271.

It is an arithmetic number, because the mean of its divisors is an integer number (2764272).

Almost surely, 2^78056020 is an apocalyptic number.

78056020 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 78056020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99513792).

78056020 is an abundant number, since it is smaller than the sum of its proper divisors (120971564).

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

78056020 is a wasteful number, since it uses less digits than its factorization.

78056020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 78056020 is about 8834.9318050566. The cubic root of 78056020 is about 427.3681318708.

The spelling of 78056020 in words is "seventy-eight million, fifty-six thousand, twenty".