77739270048 has 192 divisors, whose sum is σ = 248613805440. Its totient is φ = 23437209600.

The previous prime is 77739270017. The next prime is 77739270079. The reversal of 77739270048 is 84007293777.

It is an interprime number because it is at equal distance from previous prime (77739270017) and next prime (77739270079).

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 = 77739269976 and 77739270003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851528 + ... + 1893048.

It is an arithmetic number, because the mean of its divisors is an integer number (1294863570).

Almost surely, 2^77739270048 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 77739270048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124306902720).

77739270048 is an abundant number, since it is smaller than the sum of its proper divisors (170874535392).

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

77739270048 is a wasteful number, since it uses less digits than its factorization.

77739270048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41748 (or 41734 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 77739270048 in words is "seventy-seven billion, seven hundred thirty-nine million, two hundred seventy thousand, forty-eight".