7800274560 has 512 divisors, whose sum is σ = 29314897920. Its totient is φ = 1745879040.

The previous prime is 7800274553. The next prime is 7800274567. The reversal of 7800274560 is 654720087.

It is an interprime number because it is at equal distance from previous prime (7800274553) and next prime (7800274567).

It is a super-2 number, since 2×7800274560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7800274567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13153624 + ... + 13154216.

It is an arithmetic number, because the mean of its divisors is an integer number (57255660).

Almost surely, 2^7800274560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7800274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657448960).

7800274560 is an abundant number, since it is smaller than the sum of its proper divisors (21514623360).

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

7800274560 is a wasteful number, since it uses less digits than its factorization.

7800274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 7800274560 is about 88319.1630395126. The cubic root of 7800274560 is about 1983.2157518662.

The spelling of 7800274560 in words is "seven billion, eight hundred million, two hundred seventy-four thousand, five hundred sixty".