77616493020 has 864 divisors, whose sum is σ = 294478329600. Its totient is φ = 16492861440.

The previous prime is 77616492971. The next prime is 77616493021. The reversal of 77616493020 is 2039461677.

77616493020 is a `hidden beast` number, since 7 + 7 + 616 + 4 + 9 + 3 + 0 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77616493021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1315533751 + ... + 1315533809.

It is an arithmetic number, because the mean of its divisors is an integer number (340831400).

Almost surely, 2^77616493020 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 77616493020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147239164800).

77616493020 is an abundant number, since it is smaller than the sum of its proper divisors (216861836580).

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

77616493020 is a wasteful number, since it uses less digits than its factorization.

77616493020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 77616493020 in words is "seventy-seven billion, six hundred sixteen million, four hundred ninety-three thousand, twenty".