8077520000 has 320 divisors, whose sum is σ = 22426446240. Its totient is φ = 2872320000.

The previous prime is 8077519979. The next prime is 8077520039. The reversal of 8077520000 is 257708.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58959932 + ... + 58960068.

Almost surely, 2^8077520000 is an apocalyptic number.

8077520000 is a gapful number since it is divisible by the number (80) 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 8077520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213223120).

8077520000 is an abundant number, since it is smaller than the sum of its proper divisors (14348926240).

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

8077520000 is a wasteful number, since it uses less digits than its factorization.

8077520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 8077520000 is about 89875.0243393569. The cubic root of 8077520000 is about 2006.4392458070.

Adding to 8077520000 its reverse (257708), we get a palindrome (8077777708).

The spelling of 8077520000 in words is "eight billion, seventy-seven million, five hundred twenty thousand".