766387440 has 480 divisors, whose sum is σ = 3312912960. Its totient is φ = 161409024.

The previous prime is 766387429. The next prime is 766387441. The reversal of 766387440 is 44783667.

766387440 is a `hidden beast` number, since 7 + 6 + 638 + 7 + 4 + 4 + 0 = 666.

766387440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766387441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375642 + ... + 1376198.

It is an arithmetic number, because the mean of its divisors is an integer number (6901902).

Almost surely, 2^766387440 is an apocalyptic number.

766387440 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 766387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656456480).

766387440 is an abundant number, since it is smaller than the sum of its proper divisors (2546525520).

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

766387440 is a wasteful number, since it uses less digits than its factorization.

766387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 766387440 is about 27683.7035094656. The cubic root of 766387440 is about 915.1300003412.

The spelling of 766387440 in words is "seven hundred sixty-six million, three hundred eighty-seven thousand, four hundred forty".