766638432 has 480 divisors, whose sum is σ = 2810142720. Its totient is φ = 200309760.

The previous prime is 766638419. The next prime is 766638449. The reversal of 766638432 is 234836667.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16311433 + ... + 16311479.

It is an arithmetic number, because the mean of its divisors is an integer number (5854464).

Almost surely, 2^766638432 is an apocalyptic number.

766638432 is a gapful number since it is divisible by the number (72) 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 766638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405071360).

766638432 is an abundant number, since it is smaller than the sum of its proper divisors (2043504288).

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

766638432 is a wasteful number, since it uses less digits than its factorization.

766638432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 766638432 is about 27688.2363468676. The cubic root of 766638432 is about 915.2298911741.

The spelling of 766638432 in words is "seven hundred sixty-six million, six hundred thirty-eight thousand, four hundred thirty-two".