77970024417488 has 120 divisors (see below), whose sum is σ = 176001965903232. Its totient is φ = 33364223004672.

The previous prime is 77970024417301. The next prime is 77970024417517. The reversal of 77970024417488 is 88471442007977.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357695431 + ... + 1357752857.

Almost surely, 2^{77970024417488} 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 77970024417488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88000982951616).

77970024417488 is an abundant number, since it is smaller than the sum of its proper divisors (98031941485744).

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

77970024417488 is a wasteful number, since it uses less digits than its factorization.

77970024417488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60089 (or 60076 counting only the distinct ones).

The product of its (nonzero) digits is 177020928, while the sum is 68.

The spelling of 77970024417488 in words is "seventy-seven trillion, nine hundred seventy billion, twenty-four million, four hundred seventeen thousand, four hundred eighty-eight".