77908750920 has 768 divisors, whose sum is σ = 343429632000. Its totient is φ = 14791403520.

The previous prime is 77908750919. The next prime is 77908750957. The reversal of 77908750920 is 2905780977.

It is a Smith number, since the sum of its digits (54) 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 191 ways as a sum of consecutive naturals, for example, 37116031 + ... + 37118129.

It is an arithmetic number, because the mean of its divisors is an integer number (447174000).

Almost surely, 2^77908750920 is an apocalyptic number.

77908750920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77908750920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816000).

77908750920 is an abundant number, since it is smaller than the sum of its proper divisors (265520881080).

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

77908750920 is a wasteful number, since it uses less digits than its factorization.

77908750920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

It can be divided in two parts, 77908 and 750920, that added together give a palindrome (828828).

The spelling of 77908750920 in words is "seventy-seven billion, nine hundred eight million, seven hundred fifty thousand, nine hundred twenty".