77854020 has 96 divisors (see below), whose sum is σ = 236974080. Its totient is φ = 19025280.

The previous prime is 77854003. The next prime is 77854027. The reversal of 77854020 is 2045877.

It is a super-2 number, since 2×77854020² = 12122496860320800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77854027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34239 + ... + 36441.

It is an arithmetic number, because the mean of its divisors is an integer number (2468480).

Almost surely, 2^77854020 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 77854020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118487040).

77854020 is an abundant number, since it is smaller than the sum of its proper divisors (159120060).

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

77854020 is a wasteful number, since it uses less digits than its factorization.

77854020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 77854020 is about 8823.4925058052. The cubic root of 77854020 is about 426.9991535431. Note that the first 3 decimals are identical.

Adding to 77854020 its reverse (2045877), we get a palindrome (79899897).

The spelling of 77854020 in words is "seventy-seven million, eight hundred fifty-four thousand, twenty".