766878840000 has 2940 divisors, whose sum is σ = 3727617268144. Its totient is φ = 152285184000.

The previous prime is 766878839989. The next prime is 766878840029. The reversal of 766878840000 is 48878667.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 419 ways as a sum of consecutive naturals, for example, 45110519992 + ... + 45110520008.

Almost surely, 2^766878840000 is an apocalyptic number.

766878840000 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 766878840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863808634072).

766878840000 is an abundant number, since it is smaller than the sum of its proper divisors (2960738428144).

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

766878840000 is an equidigital number, since it uses as much as digits as its factorization.

766878840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 766878840000 in words is "seven hundred sixty-six billion, eight hundred seventy-eight million, eight hundred forty thousand".