7797278720 has 576 divisors, whose sum is σ = 25096780800. Its totient is φ = 2270822400.

The previous prime is 7797278707. The next prime is 7797278747. The reversal of 7797278720 is 278727977.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251525105 + ... + 251525135.

It is an arithmetic number, because the mean of its divisors is an integer number (43570800).

Almost surely, 2^7797278720 is an apocalyptic number.

7797278720 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 7797278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548390400).

7797278720 is an abundant number, since it is smaller than the sum of its proper divisors (17299502080).

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

7797278720 is a wasteful number, since it uses less digits than its factorization.

7797278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 56.

The square root of 7797278720 is about 88302.2011050687. The cubic root of 7797278720 is about 1982.9618224338.

The spelling of 7797278720 in words is "seven billion, seven hundred ninety-seven million, two hundred seventy-eight thousand, seven hundred twenty".