77210223082320 has 160 divisors (see below), whose sum is σ = 241557059715840. Its totient is φ = 20399698575360.

The previous prime is 77210223082309. The next prime is 77210223082331. The reversal of 77210223082320 is 2328032201277.

It is an interprime number because it is at equal distance from previous prime (77210223082309) and next prime (77210223082331).

It is a super-2 number, since 2×77210223082320² (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 31 ways as a sum of consecutive naturals, for example, 989619952 + ... + 989697968.

It is an arithmetic number, because the mean of its divisors is an integer number (1509731623224).

Almost surely, 2^{77210223082320} 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 77210223082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120778529857920).

77210223082320 is an abundant number, since it is smaller than the sum of its proper divisors (164346836633520).

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

77210223082320 is a wasteful number, since it uses less digits than its factorization.

77210223082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115973 (or 115967 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

Adding to 77210223082320 its reverse (2328032201277), we get a palindrome (79538255283597).

The spelling of 77210223082320 in words is "seventy-seven trillion, two hundred ten billion, two hundred twenty-three million, eighty-two thousand, three hundred twenty".