77924021760 has 800 divisors, whose sum is σ = 304197217632. Its totient is φ = 18951045120.

The previous prime is 77924021753. The next prime is 77924021771. The reversal of 77924021760 is 6712042977.

77924021760 is a `hidden beast` number, since 7 + 79 + 2 + 402 + 176 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369308055 + ... + 369308265.

Almost surely, 2^77924021760 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 77924021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152098608816).

77924021760 is an abundant number, since it is smaller than the sum of its proper divisors (226273195872).

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

77924021760 is a wasteful number, since it uses less digits than its factorization.

77924021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 77924021760 in words is "seventy-seven billion, nine hundred twenty-four million, twenty-one thousand, seven hundred sixty".