766428480 has 140 divisors (see below), whose sum is σ = 2726413140. Its totient is φ = 204374016.

The previous prime is 766428451. The next prime is 766428491. The reversal of 766428480 is 84824667.

It can be written as a sum of positive squares in 2 ways, for example, as 342398016 + 424030464 = 18504^2 + 20592^2 .

It is a super-2 number, since 2×766428480² = 1174825229910220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11136 + ... + 40704.

Almost surely, 2^766428480 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 766428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363206570).

766428480 is an abundant number, since it is smaller than the sum of its proper divisors (1959984660).

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

766428480 is a wasteful number, since it uses less digits than its factorization.

766428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29598 (or 29579 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 766428480 is about 27684.4447298478. Note that the first 3 decimals coincide. The cubic root of 766428480 is about 915.1463351013.

The spelling of 766428480 in words is "seven hundred sixty-six million, four hundred twenty-eight thousand, four hundred eighty".