760253652 has 72 divisors (see below), whose sum is σ = 2021975592. Its totient is φ = 240537600.

The previous prime is 760253597. The next prime is 760253671. The reversal of 760253652 is 256352067.

It is a happy number.

760253652 is a `hidden beast` number, since 76 + 0 + 2 + 536 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107246736 + 653006916 = 10356^2 + 25554^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47652 + ... + 61572.

Almost surely, 2^760253652 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 760253652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010987796).

760253652 is an abundant number, since it is smaller than the sum of its proper divisors (1261721940).

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

760253652 is a wasteful number, since it uses less digits than its factorization.

760253652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 760253652 is about 27572.6975829352. The cubic root of 760253652 is about 912.6820411688.

The spelling of 760253652 in words is "seven hundred sixty million, two hundred fifty-three thousand, six hundred fifty-two".