77882300928 has 560 divisors, whose sum is σ = 247314456576. Its totient is φ = 24455208960.

The previous prime is 77882300917. The next prime is 77882300939. The reversal of 77882300928 is 82900328877.

It is an interprime number because it is at equal distance from previous prime (77882300917) and next prime (77882300939).

It is a super-2 number, since 2×77882300928² (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 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 55 ways as a sum of consecutive naturals, for example, 613246401 + ... + 613246527.

Almost surely, 2^77882300928 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 77882300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123657228288).

77882300928 is an abundant number, since it is smaller than the sum of its proper divisors (169432155648).

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

77882300928 is an equidigital number, since it uses as much as digits as its factorization.

77882300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 77882300928 in words is "seventy-seven billion, eight hundred eighty-two million, three hundred thousand, nine hundred twenty-eight".