760269840 has 160 divisors (see below), whose sum is σ = 2613796992. Its totient is φ = 181248000.

The previous prime is 760269817. The next prime is 760269871. The reversal of 760269840 is 48962067.

760269840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×760269840² = 1156020459227251200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 760269792 and 760269801.

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 31 ways as a sum of consecutive naturals, for example, 158680 + ... + 163400.

Almost surely, 2^760269840 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 760269840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306898496).

760269840 is an abundant number, since it is smaller than the sum of its proper divisors (1853527152).

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

760269840 is a wasteful number, since it uses less digits than its factorization.

760269840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 760269840 is about 27572.9911326283. The cubic root of 760269840 is about 912.6885190034.

The spelling of 760269840 in words is "seven hundred sixty million, two hundred sixty-nine thousand, eight hundred forty".