77990017248 has 864 divisors, whose sum is σ = 279936663552. Its totient is φ = 20379340800.

The previous prime is 77990017223. The next prime is 77990017277. The reversal of 77990017248 is 84271009977.

It is a junction number, because it is equal to n+sod(n) for n = 77990017194 and 77990017203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 614094561 + ... + 614094687.

It is an arithmetic number, because the mean of its divisors is an integer number (324000768).

Almost surely, 2^77990017248 is an apocalyptic number.

77990017248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77990017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968331776).

77990017248 is an abundant number, since it is smaller than the sum of its proper divisors (201946646304).

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

77990017248 is a wasteful number, since it uses less digits than its factorization.

77990017248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 77990017248 in words is "seventy-seven billion, nine hundred ninety million, seventeen thousand, two hundred forty-eight".