766941840 has 240 divisors, whose sum is σ = 3098908800. Its totient is φ = 166053888.

The previous prime is 766941781. The next prime is 766941863. The reversal of 766941840 is 48149667.

766941840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91756 + ... + 99764.

It is an arithmetic number, because the mean of its divisors is an integer number (12912120).

Almost surely, 2^766941840 is an apocalyptic number.

766941840 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 766941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549454400).

766941840 is an abundant number, since it is smaller than the sum of its proper divisors (2331966960).

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

766941840 is a wasteful number, since it uses less digits than its factorization.

766941840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 766941840 is about 27693.7148104042. The cubic root of 766941840 is about 915.3506136400.

The spelling of 766941840 in words is "seven hundred sixty-six million, nine hundred forty-one thousand, eight hundred forty".