760213728 has 96 divisors (see below), whose sum is σ = 2232357120. Its totient is φ = 251683200.

The previous prime is 760213723. The next prime is 760213757. The reversal of 760213728 is 827312067.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 760213692 and 760213701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760213723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127551 + ... + 133377.

It is an arithmetic number, because the mean of its divisors is an integer number (23253720).

Almost surely, 2^760213728 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 760213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116178560).

760213728 is an abundant number, since it is smaller than the sum of its proper divisors (1472143392).

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

760213728 is a wasteful number, since it uses less digits than its factorization.

760213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 760213728 is about 27571.9735963895. The cubic root of 760213728 is about 912.6660646784. Note that the first 3 decimals are identical.

The spelling of 760213728 in words is "seven hundred sixty million, two hundred thirteen thousand, seven hundred twenty-eight".