77081420 has 48 divisors (see below), whose sum is σ = 180351360. Its totient is φ = 27476736.

The previous prime is 77081401. The next prime is 77081443. The reversal of 77081420 is 2418077.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 2429 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (3757320).

Almost surely, 2^77081420 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 77081420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90175680).

77081420 is an abundant number, since it is smaller than the sum of its proper divisors (103269940).

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

77081420 is a wasteful number, since it uses less digits than its factorization.

77081420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 77081420 is about 8779.6024966965. The cubic root of 77081420 is about 425.5819846874.

Adding to 77081420 its reverse (2418077), we get a palindrome (79499497).

The spelling of 77081420 in words is "seventy-seven million, eighty-one thousand, four hundred twenty".