77859829770 has 128 divisors (see below), whose sum is σ = 196293487104. Its totient is φ = 19727499264.

The previous prime is 77859829769. The next prime is 77859829771. The reversal of 77859829770 is 7792895877.

It is an interprime number because it is at equal distance from previous prime (77859829769) and next prime (77859829771).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 77859829695 and 77859829704.

It is not an unprimeable number, because it can be changed into a prime (77859829771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90851182 + ... + 90852038.

It is an arithmetic number, because the mean of its divisors is an integer number (1533542868).

Almost surely, 2^77859829770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77859829770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98146743552).

77859829770 is an abundant number, since it is smaller than the sum of its proper divisors (118433657334).

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

77859829770 is a wasteful number, since it uses less digits than its factorization.

77859829770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616.

The product of its (nonzero) digits is 124467840, while the sum is 69.

The spelling of 77859829770 in words is "seventy-seven billion, eight hundred fifty-nine million, eight hundred twenty-nine thousand, seven hundred seventy".