7795388160 has 720 divisors, whose sum is σ = 33335318016. Its totient is φ = 1700683776.

The previous prime is 7795388119. The next prime is 7795388177. The reversal of 7795388160 is 618835977.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 7795388097 and 7795388106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692247 + ... + 16692713.

Almost surely, 2^7795388160 is an apocalyptic number.

7795388160 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 7795388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16667659008).

7795388160 is an abundant number, since it is smaller than the sum of its proper divisors (25539929856).

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

7795388160 is a wasteful number, since it uses less digits than its factorization.

7795388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 7795388160 is about 88291.4954001800. The cubic root of 7795388160 is about 1982.8015438088.

The spelling of 7795388160 in words is "seven billion, seven hundred ninety-five million, three hundred eighty-eight thousand, one hundred sixty".