764892480 has 224 divisors, whose sum is σ = 2676924288. Its totient is φ = 183500800.

The previous prime is 764892473. The next prime is 764892503. The reversal of 764892480 is 84298467.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192960 + ... + 1193600.

Almost surely, 2^764892480 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 764892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338462144).

764892480 is an abundant number, since it is smaller than the sum of its proper divisors (1912031808).

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

764892480 is a wasteful number, since it uses less digits than its factorization.

764892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 764892480 is about 27656.6896066756. The cubic root of 764892480 is about 914.5345777159.

It can be divided in two parts, 7648 and 92480, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 764892480 in words is "seven hundred sixty-four million, eight hundred ninety-two thousand, four hundred eighty".