762016480 has 96 divisors (see below), whose sum is σ = 1869388416. Its totient is φ = 293289984.

The previous prime is 762016477. The next prime is 762016513. The reversal of 762016480 is 84610267.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573577 + ... + 574903.

It is an arithmetic number, because the mean of its divisors is an integer number (19472796).

Almost surely, 2^762016480 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 762016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934694208).

762016480 is an abundant number, since it is smaller than the sum of its proper divisors (1107371936).

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

762016480 is a wasteful number, since it uses less digits than its factorization.

762016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 762016480 is about 27604.6459857757. The cubic root of 762016480 is about 913.3869197371.

The spelling of 762016480 in words is "seven hundred sixty-two million, sixteen thousand, four hundred eighty".