77091913440 has 144 divisors (see below), whose sum is σ = 263314724400. Its totient is φ = 20539201536.

The previous prime is 77091913433. The next prime is 77091913441. The reversal of 77091913440 is 4431919077.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77091913441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602051 + ... + 1649469.

It is an arithmetic number, because the mean of its divisors is an integer number (1828574475).

Almost surely, 2^77091913440 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 77091913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131657362200).

77091913440 is an abundant number, since it is smaller than the sum of its proper divisors (186222810960).

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

77091913440 is a wasteful number, since it uses less digits than its factorization.

77091913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48569 (or 48558 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 77091913440 in words is "seventy-seven billion, ninety-one million, nine hundred thirteen thousand, four hundred forty".