78573420 has 72 divisors (see below), whose sum is σ = 240510816. Its totient is φ = 20762112.

The previous prime is 78573409. The next prime is 78573421. The reversal of 78573420 is 2437587.

78573420 = 1382² + 1383² + ... + 1421².

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

It is not an unprimeable number, because it can be changed into a prime (78573421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18409 + ... + 22271.

It is an arithmetic number, because the mean of its divisors is an integer number (3340428).

Almost surely, 2^78573420 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 78573420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120255408).

78573420 is an abundant number, since it is smaller than the sum of its proper divisors (161937396).

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

78573420 is a wasteful number, since it uses less digits than its factorization.

78573420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 78573420 is about 8864.1649352886. The cubic root of 78573420 is about 428.3103333483.

The spelling of 78573420 in words is "seventy-eight million, five hundred seventy-three thousand, four hundred twenty".