7766400000 has 264 divisors, whose sum is σ = 25905685680. Its totient is φ = 2068480000.

The previous prime is 7766399957. The next prime is 7766400017. The reversal of 7766400000 is 46677.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9599596 + ... + 9600404.

Almost surely, 2^7766400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7766400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952842840).

7766400000 is an abundant number, since it is smaller than the sum of its proper divisors (18139285680).

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

7766400000 is an frugal number, since it uses more digits than its factorization.

7766400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 7766400000 is about 88127.1808240795. The cubic root of 7766400000 is about 1980.3407229172.

Adding to 7766400000 its reverse (46677), we get a palindrome (7766446677).

The spelling of 7766400000 in words is "seven billion, seven hundred sixty-six million, four hundred thousand".