7801948560 has 240 divisors, whose sum is σ = 29043712512. Its totient is φ = 1725696000.

The previous prime is 7801948537. The next prime is 7801948577. The reversal of 7801948560 is 658491087.

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353860 + ... + 375260.

Almost surely, 2^7801948560 is an apocalyptic number.

7801948560 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 7801948560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14521856256).

7801948560 is an abundant number, since it is smaller than the sum of its proper divisors (21241763952).

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

7801948560 is a wasteful number, since it uses less digits than its factorization.

7801948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21462 (or 21449 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 7801948560 is about 88328.6395230901. The cubic root of 7801948560 is about 1983.3576129285.

The spelling of 7801948560 in words is "seven billion, eight hundred one million, nine hundred forty-eight thousand, five hundred sixty".