77698938420 has 192 divisors, whose sum is σ = 246881779200. Its totient is φ = 20282803200.

The previous prime is 77698938287. The next prime is 77698938461. The reversal of 77698938420 is 2483989677.

77698938420 is a `hidden beast` number, since 77 + 69 + 89 + 3 + 8 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4846057 + ... + 4862063.

It is an arithmetic number, because the mean of its divisors is an integer number (1285842600).

Almost surely, 2^77698938420 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 77698938420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123440889600).

77698938420 is an abundant number, since it is smaller than the sum of its proper divisors (169182840780).

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

77698938420 is a wasteful number, since it uses less digits than its factorization.

77698938420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16215 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

It can be divided in two parts, 776989 and 38420, that added together give a square (815409 = 903²).

The spelling of 77698938420 in words is "seventy-seven billion, six hundred ninety-eight million, nine hundred thirty-eight thousand, four hundred twenty".