766995480 has 224 divisors, whose sum is σ = 2679598800. Its totient is φ = 197261568.

The previous prime is 766995473. The next prime is 766995527. The reversal of 766995480 is 84599667.

766995480 is a `hidden beast` number, since 7 + 6 + 6 + 99 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 845187 + ... + 846093.

Almost surely, 2^766995480 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 766995480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339799400).

766995480 is an abundant number, since it is smaller than the sum of its proper divisors (1912603320).

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

766995480 is a wasteful number, since it uses less digits than its factorization.

766995480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 766995480 is about 27694.6832442619. The cubic root of 766995480 is about 915.3719530514.

The spelling of 766995480 in words is "seven hundred sixty-six million, nine hundred ninety-five thousand, four hundred eighty".