760385472 has 224 divisors, whose sum is σ = 2641274880. Its totient is φ = 187038720.

The previous prime is 760385471. The next prime is 760385519. The reversal of 760385472 is 274583067.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760385471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279543 + ... + 282249.

Almost surely, 2^760385472 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 760385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320637440).

760385472 is an abundant number, since it is smaller than the sum of its proper divisors (1880889408).

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

760385472 is a wasteful number, since it uses less digits than its factorization.

760385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 760385472 is about 27575.0878874393. The cubic root of 760385472 is about 912.7347879477.

The spelling of 760385472 in words is "seven hundred sixty million, three hundred eighty-five thousand, four hundred seventy-two".