766752480 has 576 divisors, whose sum is σ = 3074355648. Its totient is φ = 179159040.

The previous prime is 766752473. The next prime is 766752487. The reversal of 766752480 is 84257667.

It is an interprime number because it is at equal distance from previous prime (766752473) and next prime (766752487).

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 (766752487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18701260 + ... + 18701300.

It is an arithmetic number, because the mean of its divisors is an integer number (5337423).

Almost surely, 2^766752480 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 766752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537177824).

766752480 is an abundant number, since it is smaller than the sum of its proper divisors (2307603168).

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

766752480 is a wasteful number, since it uses less digits than its factorization.

766752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 766752480 is about 27690.2957730682. The cubic root of 766752480 is about 915.2752732642.

The spelling of 766752480 in words is "seven hundred sixty-six million, seven hundred fifty-two thousand, four hundred eighty".