77608383930 has 1024 divisors, whose sum is σ = 283668480000. Its totient is φ = 14936140800.

The previous prime is 77608383889. The next prime is 77608383961. The reversal of 77608383930 is 3938380677.

It is a super-2 number, since 2×77608383930² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 511 ways as a sum of consecutive naturals, for example, 1093075795 + ... + 1093075865.

It is an arithmetic number, because the mean of its divisors is an integer number (277020000).

Almost surely, 2^77608383930 is an apocalyptic number.

77608383930 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77608383930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240000).

77608383930 is an abundant number, since it is smaller than the sum of its proper divisors (206060096070).

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

77608383930 is a wasteful number, since it uses less digits than its factorization.

77608383930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77608383930 in words is "seventy-seven billion, six hundred eight million, three hundred eighty-three thousand, nine hundred thirty".