766503408 has 160 divisors (see below), whose sum is σ = 2259498240. Its totient is φ = 221777920.

The previous prime is 766503403. The next prime is 766503449. The reversal of 766503408 is 804305667.

It is a super-2 number, since 2×766503408² = 1175054948951228928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766503403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1730035 + ... + 1730477.

It is an arithmetic number, because the mean of its divisors is an integer number (14121864).

Almost surely, 2^766503408 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 766503408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129749120).

766503408 is an abundant number, since it is smaller than the sum of its proper divisors (1492994832).

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

766503408 is a wasteful number, since it uses less digits than its factorization.

766503408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 766503408 is about 27685.7979476843. The cubic root of 766503408 is about 915.1761564749.

The spelling of 766503408 in words is "seven hundred sixty-six million, five hundred three thousand, four hundred eight".