7887605040 has 420 divisors, whose sum is σ = 31651059024. Its totient is φ = 1789910784.

The previous prime is 7887605021. The next prime is 7887605057. The reversal of 7887605040 is 405067887.

7887605040 is a `hidden beast` number, since 7 + 8 + 87 + 60 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56745291 + ... + 56745429.

Almost surely, 2^7887605040 is an apocalyptic number.

7887605040 is a gapful number since it is divisible by the number (70) 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 7887605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825529512).

7887605040 is an abundant number, since it is smaller than the sum of its proper divisors (23763453984).

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

7887605040 is an equidigital number, since it uses as much as digits as its factorization.

7887605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7887605040 is about 88812.1897038914. The cubic root of 7887605040 is about 1990.5895444430.

The spelling of 7887605040 in words is "seven billion, eight hundred eighty-seven million, six hundred five thousand, forty".