761126624 has 72 divisors (see below), whose sum is σ = 1621066608. Its totient is φ = 351521280.

The previous prime is 761126599. The next prime is 761126629. The reversal of 761126624 is 426621167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761126629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472829 + ... + 474435.

It is an arithmetic number, because the mean of its divisors is an integer number (22514814).

Almost surely, 2^761126624 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 761126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810533304).

761126624 is an abundant number, since it is smaller than the sum of its proper divisors (859939984).

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

761126624 is a wasteful number, since it uses less digits than its factorization.

761126624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1669 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 761126624 is about 27588.5234110128. The cubic root of 761126624 is about 913.0312408958.

The spelling of 761126624 in words is "seven hundred sixty-one million, one hundred twenty-six thousand, six hundred twenty-four".