77101431984 has 160 divisors (see below), whose sum is σ = 235030760640. Its totient is φ = 24116133888.

The previous prime is 77101431937. The next prime is 77101431989. The reversal of 77101431984 is 48913410177.

It is not an unprimeable number, because it can be changed into a prime (77101431989) 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, 2459352 + ... + 2490504.

It is an arithmetic number, because the mean of its divisors is an integer number (1468942254).

Almost surely, 2^77101431984 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 77101431984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117515380320).

77101431984 is an abundant number, since it is smaller than the sum of its proper divisors (157929328656).

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

77101431984 is a wasteful number, since it uses less digits than its factorization.

77101431984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31524 (or 31512 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 77101431984 in words is "seventy-seven billion, one hundred one million, four hundred thirty-one thousand, nine hundred eighty-four".