77161985472 has 224 divisors, whose sum is σ = 241190337024. Its totient is φ = 21463142400.

The previous prime is 77161985471. The next prime is 77161985501. The reversal of 77161985472 is 27458916177.

It is a super-2 number, since 2×77161985472² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77161985471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4961773 + ... + 4977299.

It is an arithmetic number, because the mean of its divisors is an integer number (1076742576).

Almost surely, 2^77161985472 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 77161985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120595168512).

77161985472 is an abundant number, since it is smaller than the sum of its proper divisors (164028351552).

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

77161985472 is a wasteful number, since it uses less digits than its factorization.

77161985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15747 (or 15737 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 57.

The spelling of 77161985472 in words is "seventy-seven billion, one hundred sixty-one million, nine hundred eighty-five thousand, four hundred seventy-two".