77259540000 has 240 divisors, whose sum is σ = 258828248448. Its totient is φ = 20163456000.

The previous prime is 77259539993. The next prime is 77259540013. The reversal of 77259540000 is 4595277.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2806302 + ... + 2833698.

Almost surely, 2^77259540000 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 77259540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129414124224).

77259540000 is an abundant number, since it is smaller than the sum of its proper divisors (181568708448).

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

77259540000 is a wasteful number, since it uses less digits than its factorization.

77259540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27477 (or 27454 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 77259540000 in words is "seventy-seven billion, two hundred fifty-nine million, five hundred forty thousand".