77683200000 has 936 divisors, whose sum is σ = 314309507904. Its totient is φ = 16711680000.

The previous prime is 77683199969. The next prime is 77683200029. The reversal of 77683200000 is 238677.

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 71 ways as a sum of consecutive naturals, for example, 4569599992 + ... + 4569600008.

Almost surely, 2^77683200000 is an apocalyptic number.

77683200000 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 77683200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157154753952).

77683200000 is an abundant number, since it is smaller than the sum of its proper divisors (236626307904).

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

77683200000 is an frugal number, since it uses more digits than its factorization.

77683200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 77683200000 its reverse (238677), we get a palindrome (77683438677).

It can be divided in two parts, 7 and 7683200000, that multiplied together give a 5-th power (53782400000 = 140⁵).

The spelling of 77683200000 in words is "seventy-seven billion, six hundred eighty-three million, two hundred thousand".