8077920480 has 576 divisors, whose sum is σ = 33977180160. Its totient is φ = 1785369600.

The previous prime is 8077920479. The next prime is 8077920497. The reversal of 8077920480 is 840297708.

8077920480 is a `hidden beast` number, since 80 + 7 + 7 + 92 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6561465 + ... + 6562695.

It is an arithmetic number, because the mean of its divisors is an integer number (58988160).

Almost surely, 2^8077920480 is an apocalyptic number.

8077920480 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 8077920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988590080).

8077920480 is an abundant number, since it is smaller than the sum of its proper divisors (25899259680).

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

8077920480 is a wasteful number, since it uses less digits than its factorization.

8077920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 8077920480 is about 89877.2522944488. The cubic root of 8077920480 is about 2006.4724047267.

The spelling of 8077920480 in words is "eight billion, seventy-seven million, nine hundred twenty thousand, four hundred eighty".