7801995600 has 720 divisors, whose sum is σ = 33760160640. Its totient is φ = 1703116800.

The previous prime is 7801995583. The next prime is 7801995613. The reversal of 7801995600 is 65991087.

7801995600 is a `hidden beast` number, since 7 + 80 + 1 + 9 + 9 + 560 + 0 = 666.

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

It is a super-2 number, since 2×7801995600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12171280 + ... + 12171920.

It is an arithmetic number, because the mean of its divisors is an integer number (46889112).

Almost surely, 2^7801995600 is an apocalyptic number.

7801995600 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 7801995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880080320).

7801995600 is an abundant number, since it is smaller than the sum of its proper divisors (25958165040).

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

7801995600 is a wasteful number, since it uses less digits than its factorization.

7801995600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 7801995600 is about 88328.9058009891. The cubic root of 7801995600 is about 1983.3615989820.

The spelling of 7801995600 in words is "seven billion, eight hundred one million, nine hundred ninety-five thousand, six hundred".