8072077104 has 360 divisors, whose sum is σ = 28774470816. Its totient is φ = 2057011200.

The previous prime is 8072077081. The next prime is 8072077133. The reversal of 8072077104 is 4017702708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12592624 + ... + 12593264.

Almost surely, 2^8072077104 is an apocalyptic number.

8072077104 is a gapful number since it is divisible by the number (84) 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 8072077104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387235408).

8072077104 is an abundant number, since it is smaller than the sum of its proper divisors (20702393712).

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

8072077104 is a wasteful number, since it uses less digits than its factorization.

8072077104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 8072077104 is about 89844.7388776883. The cubic root of 8072077104 is about 2005.9884765114.

The spelling of 8072077104 in words is "eight billion, seventy-two million, seventy-seven thousand, one hundred four".