761227632 has 280 divisors, whose sum is σ = 2561554800. Its totient is φ = 216483840.

The previous prime is 761227613. The next prime is 761227637. The reversal of 761227632 is 236722167.

It is a happy number.

761227632 is a `hidden beast` number, since 7 + 6 + 12 + 2 + 7 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761227637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2180994 + ... + 2181342.

It is an arithmetic number, because the mean of its divisors is an integer number (9148410).

Almost surely, 2^761227632 is an apocalyptic number.

761227632 is a gapful number since it is divisible by the number (72) 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 761227632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280777400).

761227632 is an abundant number, since it is smaller than the sum of its proper divisors (1800327168).

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

761227632 is a wasteful number, since it uses less digits than its factorization.

761227632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 382 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 761227632 is about 27590.3539665587. The cubic root of 761227632 is about 913.0716281223.

Adding to 761227632 its reverse (236722167), we get a palindrome (997949799).

The spelling of 761227632 in words is "seven hundred sixty-one million, two hundred twenty-seven thousand, six hundred thirty-two".