83777869728 has 672 divisors, whose sum is σ = 303182320896. Its totient is φ = 22233636864.

The previous prime is 83777869663. The next prime is 83777869751. The reversal of 83777869728 is 82796877738.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (398297088) is a multiple of the sum of its prime factors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 285931150 + ... + 285931442.

It is an arithmetic number, because the mean of its divisors is an integer number (451164168).

Almost surely, 2^83777869728 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 83777869728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151591160448).

83777869728 is an abundant number, since it is smaller than the sum of its proper divisors (219404451168).

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

83777869728 is a wasteful number, since it uses less digits than its factorization.

83777869728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 72.

The spelling of 83777869728 in words is "eighty-three billion, seven hundred seventy-seven million, eight hundred sixty-nine thousand, seven hundred twenty-eight".