77245287720 has 256 divisors, whose sum is σ = 243387555840. Its totient is φ = 19592767488.

The previous prime is 77245287703. The next prime is 77245287731. The reversal of 77245287720 is 2778254277.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56506477 + ... + 56507843.

It is an arithmetic number, because the mean of its divisors is an integer number (950732640).

Almost surely, 2^77245287720 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 77245287720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121693777920).

77245287720 is an abundant number, since it is smaller than the sum of its proper divisors (166142268120).

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

77245287720 is a wasteful number, since it uses less digits than its factorization.

77245287720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 51.

The spelling of 77245287720 in words is "seventy-seven billion, two hundred forty-five million, two hundred eighty-seven thousand, seven hundred twenty".