77621182848 has 384 divisors, whose sum is σ = 261440524800. Its totient is φ = 22707578880.

The previous prime is 77621182829. The next prime is 77621182853. The reversal of 77621182848 is 84828112677.

77621182848 is a `hidden beast` number, since 7 + 7 + 621 + 1 + 8 + 2 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×77621182848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77621182794 and 77621182803.

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 47 ways as a sum of consecutive naturals, for example, 9918265 + ... + 9926087.

It is an arithmetic number, because the mean of its divisors is an integer number (680834700).

Almost surely, 2^77621182848 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 77621182848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130720262400).

77621182848 is an abundant number, since it is smaller than the sum of its proper divisors (183819341952).

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

77621182848 is a wasteful number, since it uses less digits than its factorization.

77621182848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7868 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 77621182848 in words is "seventy-seven billion, six hundred twenty-one million, one hundred eighty-two thousand, eight hundred forty-eight".