760423680 has 144 divisors (see below), whose sum is σ = 2698570560. Its totient is φ = 202770432.

The previous prime is 760423663. The next prime is 760423717. The reversal of 760423680 is 86324067.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23559 + ... + 45561.

Almost surely, 2^760423680 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 760423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349285280).

760423680 is an abundant number, since it is smaller than the sum of its proper divisors (1938146880).

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

760423680 is a wasteful number, since it uses less digits than its factorization.

760423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22033 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 760423680 is about 27575.7806779790. The cubic root of 760423680 is about 912.7500754512.

The spelling of 760423680 in words is "seven hundred sixty million, four hundred twenty-three thousand, six hundred eighty".