766480 has 80 divisors (see below), whose sum is σ = 2124864. Its totient is φ = 253440.

The previous prime is 766477. The next prime is 766487. The reversal of 766480 is 84667.

766480 is a nontrivial binomial coefficient, being equal to C(67, 4).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11407 + ... + 11473.

2⁷⁶⁶⁴⁸⁰ is an apocalyptic number.

766480 is the 715-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432).

766480 is an abundant number, since it is smaller than the sum of its proper divisors (1358384).

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

766480 is a wasteful number, since it uses less digits than its factorization.

766480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 766480 is about 875.4884351035. The cubic root of 766480 is about 91.5166840290.

It can be divided in two parts, 7664 and 80, that added together give a square (7744 = 88²).

The spelling of 766480 in words is "seven hundred sixty-six thousand, four hundred eighty".