7797228480 has 336 divisors, whose sum is σ = 28008620640. Its totient is φ = 2064642048.

The previous prime is 7797228479. The next prime is 7797228499. The reversal of 7797228480 is 848227977.

7797228480 is a `hidden beast` number, since 7 + 79 + 72 + 28 + 480 = 666.

It is a super-2 number, since 2×7797228480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 15318466 + ... + 15318974.

It is an arithmetic number, because the mean of its divisors is an integer number (83358990).

Almost surely, 2^7797228480 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 7797228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004310320).

7797228480 is an abundant number, since it is smaller than the sum of its proper divisors (20211392160).

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

7797228480 is a wasteful number, since it uses less digits than its factorization.

7797228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 7797228480 is about 88301.9166269906. The cubic root of 7797228480 is about 1982.9575635028.

The spelling of 7797228480 in words is "seven billion, seven hundred ninety-seven million, two hundred twenty-eight thousand, four hundred eighty".