8780457504 has 192 divisors, whose sum is σ = 28630990080. Its totient is φ = 2294231040.

The previous prime is 8780457481. The next prime is 8780457563. The reversal of 8780457504 is 4057540878.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947614 + ... + 956834.

It is an arithmetic number, because the mean of its divisors is an integer number (149119740).

Almost surely, 2^8780457504 is an apocalyptic number.

8780457504 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 8780457504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315495040).

8780457504 is an abundant number, since it is smaller than the sum of its proper divisors (19850532576).

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

8780457504 is a wasteful number, since it uses less digits than its factorization.

8780457504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 8780457504 is about 93704.0954494519. The cubic root of 8780457504 is about 2063.0308156319.

The spelling of 8780457504 in words is "eight billion, seven hundred eighty million, four hundred fifty-seven thousand, five hundred four".