766619872 has 96 divisors (see below), whose sum is σ = 1628877600. Its totient is φ = 354428928.

The previous prime is 766619849. The next prime is 766619891. The reversal of 766619872 is 278916667.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2849754 + ... + 2850022.

It is an arithmetic number, because the mean of its divisors is an integer number (16967475).

Almost surely, 2^766619872 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 766619872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814438800).

766619872 is an abundant number, since it is smaller than the sum of its proper divisors (862257728).

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

766619872 is a wasteful number, since it uses less digits than its factorization.

766619872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The square root of 766619872 is about 27687.9011844524. The cubic root of 766619872 is about 915.2225053352. Note that the first 3 decimals are identical.

The spelling of 766619872 in words is "seven hundred sixty-six million, six hundred nineteen thousand, eight hundred seventy-two".