77135280771520 has 112 divisors (see below), whose sum is σ = 184348602295200. Its totient is φ = 30741668499456.

The previous prime is 77135280771517. The next prime is 77135280771547. The reversal of 77135280771520 is 2517708253177.

It is a happy number.

It is a super-2 number, since 2×77135280771520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143016274 + ... + 143554606.

It is an arithmetic number, because the mean of its divisors is an integer number (1645969663350).

Almost surely, 2^{77135280771520} 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 77135280771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92174301147600).

77135280771520 is an abundant number, since it is smaller than the sum of its proper divisors (107213321523680).

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

77135280771520 is a wasteful number, since it uses less digits than its factorization.

77135280771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539982 (or 539972 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 55.

The spelling of 77135280771520 in words is "seventy-seven trillion, one hundred thirty-five billion, two hundred eighty million, seven hundred seventy-one thousand, five hundred twenty".