77871465440 has 96 divisors (see below), whose sum is σ = 184942517760. Its totient is φ = 30984630784.

The previous prime is 77871465433. The next prime is 77871465443. The reversal of 77871465440 is 4456417877.

It is a super-2 number, since 2×77871465440² (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 (77871465443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26823029 + ... + 26825931.

It is an arithmetic number, because the mean of its divisors is an integer number (1926484560).

Almost surely, 2^77871465440 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 77871465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92471258880).

77871465440 is an abundant number, since it is smaller than the sum of its proper divisors (107071052320).

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

77871465440 is a wasteful number, since it uses less digits than its factorization.

77871465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 53.

The spelling of 77871465440 in words is "seventy-seven billion, eight hundred seventy-one million, four hundred sixty-five thousand, four hundred forty".