77816893440 has 832 divisors, whose sum is σ = 310313348352. Its totient is φ = 16357785600.

The previous prime is 77816893433. The next prime is 77816893447. The reversal of 77816893440 is 4439861877.

It is an interprime number because it is at equal distance from previous prime (77816893433) and next prime (77816893447).

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-3 number, since 3×77816893440³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (77816893447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149360380 + ... + 149360900.

Almost surely, 2^77816893440 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 77816893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155156674176).

77816893440 is an abundant number, since it is smaller than the sum of its proper divisors (232496454912).

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

77816893440 is a wasteful number, since it uses less digits than its factorization.

77816893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 77816893440 in words is "seventy-seven billion, eight hundred sixteen million, eight hundred ninety-three thousand, four hundred forty".