766141440 has 176 divisors, whose sum is σ = 2531074560. Its totient is φ = 197591040.

The previous prime is 766141433. The next prime is 766141463. The reversal of 766141440 is 44141667.

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 15 ways as a sum of consecutive naturals, for example, 475356 + ... + 476964.

Almost surely, 2^766141440 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 766141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265537280).

766141440 is an abundant number, since it is smaller than the sum of its proper divisors (1764933120).

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

766141440 is a wasteful number, since it uses less digits than its factorization.

766141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 766141440 is about 27679.2601057181. The cubic root of 766141440 is about 915.0320750797.

The spelling of 766141440 in words is "seven hundred sixty-six million, one hundred forty-one thousand, four hundred forty".