77907102000 has 640 divisors, whose sum is σ = 312534663168. Its totient is φ = 16257024000.

The previous prime is 77907101981. The next prime is 77907102011. The reversal of 77907102000 is 20170977.

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 127 ways as a sum of consecutive naturals, for example, 52961265 + ... + 52962735.

Almost surely, 2^77907102000 is an apocalyptic number.

77907102000 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 77907102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156267331584).

77907102000 is an abundant number, since it is smaller than the sum of its proper divisors (234627561168).

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

77907102000 is a wasteful number, since it uses less digits than its factorization.

77907102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

Adding to 77907102000 its reverse (20170977), we get a palindrome (77927272977).

The spelling of 77907102000 in words is "seventy-seven billion, nine hundred seven million, one hundred two thousand".