77889795480 has 512 divisors, whose sum is σ = 313217280000. Its totient is φ = 16819052544.

The previous prime is 77889795439. The next prime is 77889795497. The reversal of 77889795480 is 8459798877.

77889795480 is a `hidden beast` number, since 7 + 7 + 8 + 8 + 9 + 79 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77889795399 and 77889795408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81730684 + ... + 81731636.

It is an arithmetic number, because the mean of its divisors is an integer number (611752500).

Almost surely, 2^77889795480 is an apocalyptic number.

77889795480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77889795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156608640000).

77889795480 is an abundant number, since it is smaller than the sum of its proper divisors (235327484520).

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

77889795480 is a wasteful number, since it uses less digits than its factorization.

77889795480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 77889795480 in words is "seventy-seven billion, eight hundred eighty-nine million, seven hundred ninety-five thousand, four hundred eighty".