8047780400 has 60 divisors (see below), whose sum is σ = 21092512344. Its totient is φ = 2926464000.

The previous prime is 8047780387. The next prime is 8047780421. The reversal of 8047780400 is 40877408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910121 + ... + 918920.

Almost surely, 2^8047780400 is an apocalyptic number.

8047780400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8047780400 is an abundant number, since it is smaller than the sum of its proper divisors (13044731944).

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

8047780400 is a wasteful number, since it uses less digits than its factorization.

8047780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829070 (or 1829059 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 8047780400 is about 89709.4220246681. The cubic root of 8047780400 is about 2003.9737992306.

The spelling of 8047780400 in words is "eight billion, forty-seven million, seven hundred eighty thousand, four hundred".