764214080 has 112 divisors (see below), whose sum is σ = 2088343296. Its totient is φ = 260935680.

The previous prime is 764214053. The next prime is 764214089. The reversal of 764214080 is 80412467.

764214080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764214089) 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, 696092 + ... + 697188.

Almost surely, 2^764214080 is an apocalyptic number.

764214080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044171648).

764214080 is an abundant number, since it is smaller than the sum of its proper divisors (1324129216).

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

764214080 is a wasteful number, since it uses less digits than its factorization.

764214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 764214080 is about 27644.4222222133. The cubic root of 764214080 is about 914.2641241181.

The spelling of 764214080 in words is "seven hundred sixty-four million, two hundred fourteen thousand, eighty".