7766705038400 has 336 divisors, whose sum is σ = 23849495356032. Its totient is φ = 2418468864000.

The previous prime is 7766705038397. The next prime is 7766705038409. The reversal of 7766705038400 is 48305076677.

It is not an unprimeable number, because it can be changed into a prime (7766705038409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130685492 + ... + 130744908.

Almost surely, 2^{7766705038400} is an apocalyptic number.

7766705038400 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 7766705038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924747678016).

7766705038400 is an abundant number, since it is smaller than the sum of its proper divisors (16082790317632).

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

7766705038400 is a wasteful number, since it uses less digits than its factorization.

7766705038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60518 (or 60503 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 7766705038400 in words is "seven trillion, seven hundred sixty-six billion, seven hundred five million, thirty-eight thousand, four hundred".