766558480 has 20 divisors (see below), whose sum is σ = 1782248652. Its totient is φ = 306623360.

The previous prime is 766558469. The next prime is 766558487. The reversal of 766558480 is 84855667.

It can be written as a sum of positive squares in 2 ways, for example, as 349091856 + 417466624 = 18684^2 + 20432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×766558480² = 1175223806519820800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (766558487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4790911 + ... + 4791070.

Almost surely, 2^766558480 is an apocalyptic number.

It is an amenable number.

766558480 is an abundant number, since it is smaller than the sum of its proper divisors (1015690172).

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

766558480 is a wasteful number, since it uses less digits than its factorization.

766558480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581994 (or 9581988 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The square root of 766558480 is about 27686.7925191778. The cubic root of 766558480 is about 915.1980739136.

It can be divided in two parts, 76 and 6558480, that added together give a palindrome (6558556).

The spelling of 766558480 in words is "seven hundred sixty-six million, five hundred fifty-eight thousand, four hundred eighty".