761216097600 has 630 divisors, whose sum is σ = 3254888726430. Its totient is φ = 173990799360.

The previous prime is 761216097589. The next prime is 761216097611. The reversal of 761216097600 is 6790612167.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (761216097589) and next prime (761216097611).

It can be written as a sum of positive squares in 3 ways, for example, as 129496340736 + 631719756864 = 359856^2 + 794808^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 6290466 + ... + 6410334.

Almost surely, 2^761216097600 is an apocalyptic number.

761216097600 is a gapful number since it is divisible by the number (70) 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 761216097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627444363215).

761216097600 is an abundant number, since it is smaller than the sum of its proper divisors (2493672628830).

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

761216097600 is a wasteful number, since it uses less digits than its factorization.

761216097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119917 (or 119886 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 761216097600 in words is "seven hundred sixty-one billion, two hundred sixteen million, ninety-seven thousand, six hundred".