77880972430500 has 192 divisors, whose sum is σ = 227251226861568. Its totient is φ = 20725998268800.

The previous prime is 77880972430489. The next prime is 77880972430561. The reversal of 77880972430500 is 503427908877.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2128633207 + ... + 2128669793.

It is an arithmetic number, because the mean of its divisors is an integer number (1183600139904).

Almost surely, 2^{77880972430500} 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 77880972430500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113625613430784).

77880972430500 is an abundant number, since it is smaller than the sum of its proper divisors (149370254431068).

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

77880972430500 is a wasteful number, since it uses less digits than its factorization.

77880972430500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39459 (or 39447 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 77880972430500 in words is "seventy-seven trillion, eight hundred eighty billion, nine hundred seventy-two million, four hundred thirty thousand, five hundred".