7780486560 has 1152 divisors, whose sum is σ = 34625283840. Its totient is φ = 1445068800.

The previous prime is 7780486459. The next prime is 7780486561. The reversal of 7780486560 is 656840877.

It is a super-2 number, since 2×7780486560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7780486561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127548930 + ... + 127548990.

It is an arithmetic number, because the mean of its divisors is an integer number (30056670).

Almost surely, 2^7780486560 is an apocalyptic number.

7780486560 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 7780486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312641920).

7780486560 is an abundant number, since it is smaller than the sum of its proper divisors (26844797280).

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

7780486560 is a wasteful number, since it uses less digits than its factorization.

7780486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The square root of 7780486560 is about 88207.0663835954. The cubic root of 7780486560 is about 1981.5373021781.

The spelling of 7780486560 in words is "seven billion, seven hundred eighty million, four hundred eighty-six thousand, five hundred sixty".