58782020 has 48 divisors (see below), whose sum is σ = 140531328. Its totient is φ = 20444160.

The previous prime is 58782019. The next prime is 58782037. The reversal of 58782020 is 2028785.

It is a super-3 number, since 3×58782020³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749 + ... + 10868.

It is an arithmetic number, because the mean of its divisors is an integer number (2927736).

Almost surely, 2^58782020 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 58782020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70265664).

58782020 is an abundant number, since it is smaller than the sum of its proper divisors (81749308).

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

58782020 is a wasteful number, since it uses less digits than its factorization.

58782020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11660 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 58782020 is about 7666.9433283415. The cubic root of 58782020 is about 388.8196175332.

The spelling of 58782020 in words is "fifty-eight million, seven hundred eighty-two thousand, twenty".