766635840 has 168 divisors, whose sum is σ = 2734848480. Its totient is φ = 204415488.

The previous prime is 766635827. The next prime is 766635841. The reversal of 766635840 is 48536667.

It is a super-2 number, since 2×766635840² = 1175461022345011200, which contains 22 as substring.

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 (766635841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72831 + ... + 82689.

It is an arithmetic number, because the mean of its divisors is an integer number (16278860).

Almost surely, 2^766635840 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 766635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367424240).

766635840 is an abundant number, since it is smaller than the sum of its proper divisors (1968212640).

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

766635840 is an equidigital number, since it uses as much as digits as its factorization.

766635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 766635840 is about 27688.1895399464. The cubic root of 766635840 is about 915.2288597107.

The spelling of 766635840 in words is "seven hundred sixty-six million, six hundred thirty-five thousand, eight hundred forty".