76506223421310 has 256 divisors, whose sum is σ = 194702417141760. Its totient is φ = 19209305364480.

The previous prime is 76506223421227. The next prime is 76506223421321. The reversal of 76506223421310 is 1312432260567.

It is a super-2 number, since 2×76506223421310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13161225964 + ... + 13161231776.

It is an arithmetic number, because the mean of its divisors is an integer number (760556316960).

Almost surely, 2^{76506223421310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76506223421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97351208570880).

76506223421310 is an abundant number, since it is smaller than the sum of its proper divisors (118196193720450).

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

76506223421310 is a wasteful number, since it uses less digits than its factorization.

76506223421310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123.

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 76506223421310 its reverse (1312432260567), we get a palindrome (77818655681877).

The spelling of 76506223421310 in words is "seventy-six trillion, five hundred six billion, two hundred twenty-three million, four hundred twenty-one thousand, three hundred ten".