77019085440 has 512 divisors, whose sum is σ = 298510099200. Its totient is φ = 18612633600.

The previous prime is 77019085417. The next prime is 77019085441. The reversal of 77019085440 is 4458091077.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (77019085441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116518710 + ... + 116519370.

Almost surely, 2^77019085440 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 77019085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149255049600).

77019085440 is an abundant number, since it is smaller than the sum of its proper divisors (221491013760).

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

77019085440 is a wasteful number, since it uses less digits than its factorization.

77019085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 77019085440 in words is "seventy-seven billion, nineteen million, eighty-five thousand, four hundred forty".