761327424 has 420 divisors, whose sum is σ = 2699674560. Its totient is φ = 210263040.

The previous prime is 761327423. The next prime is 761327431. The reversal of 761327424 is 424723167.

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 (761327423) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9637017 + ... + 9637095.

Almost surely, 2^761327424 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 761327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349837280).

761327424 is an abundant number, since it is smaller than the sum of its proper divisors (1938347136).

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

761327424 is a wasteful number, since it uses less digits than its factorization.

761327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 761327424 is about 27592.1623654254. The cubic root of 761327424 is about 913.1115256330. Note that the first 3 decimals are identical.

The spelling of 761327424 in words is "seven hundred sixty-one million, three hundred twenty-seven thousand, four hundred twenty-four".