761527536 has 120 divisors (see below), whose sum is σ = 2471425152. Its totient is φ = 197788800.

The previous prime is 761527499. The next prime is 761527537. The reversal of 761527536 is 635725167.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761527537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31291 + ... + 50021.

Almost surely, 2^761527536 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 761527536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235712576).

761527536 is an abundant number, since it is smaller than the sum of its proper divisors (1709897616).

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

761527536 is a wasteful number, since it uses less digits than its factorization.

761527536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18754 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 761527536 is about 27595.7883743154. The cubic root of 761527536 is about 913.1915212479.

The spelling of 761527536 in words is "seven hundred sixty-one million, five hundred twenty-seven thousand, five hundred thirty-six".