77100180480 has 880 divisors, whose sum is σ = 295322163840. Its totient is φ = 19191693312.

The previous prime is 77100180473. The next prime is 77100180517. The reversal of 77100180480 is 8408100177.

77100180480 is a `hidden beast` number, since 77 + 100 + 1 + 8 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 562774972 + ... + 562775108.

It is an arithmetic number, because the mean of its divisors is an integer number (335593368).

Almost surely, 2^77100180480 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 77100180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147661081920).

77100180480 is an abundant number, since it is smaller than the sum of its proper divisors (218221983360).

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

77100180480 is a wasteful number, since it uses less digits than its factorization.

77100180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 77100180480 in words is "seventy-seven billion, one hundred million, one hundred eighty thousand, four hundred eighty".