7798714560 has 1008 divisors, whose sum is σ = 34973056800. Its totient is φ = 1630347264.

The previous prime is 7798714531. The next prime is 7798714619. The reversal of 7798714560 is 654178977.

7798714560 is a `hidden beast` number, since 7 + 7 + 9 + 8 + 71 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7798714497 and 7798714506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71547786 + ... + 71547894.

Almost surely, 2^7798714560 is an apocalyptic number.

7798714560 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 7798714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486528400).

7798714560 is an abundant number, since it is smaller than the sum of its proper divisors (27174342240).

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

7798714560 is a wasteful number, since it uses less digits than its factorization.

7798714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 7798714560 is about 88310.3309924722. The cubic root of 7798714560 is about 1983.0835333219.

The spelling of 7798714560 in words is "seven billion, seven hundred ninety-eight million, seven hundred fourteen thousand, five hundred sixty".