7805952000 has 1008 divisors, whose sum is σ = 35351106336. Its totient is φ = 1622016000.

The previous prime is 7805951941. The next prime is 7805952019. The reversal of 7805952000 is 2595087.

7805952000 is a `hidden beast` number, since 7 + 80 + 59 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 709631995 + ... + 709632005.

It is an arithmetic number, because the mean of its divisors is an integer number (35070542).

Almost surely, 2^7805952000 is an apocalyptic number.

7805952000 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 7805952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675553168).

7805952000 is an abundant number, since it is smaller than the sum of its proper divisors (27545154336).

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

7805952000 is a wasteful number, since it uses less digits than its factorization.

7805952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 7805952000 is about 88351.2988019984. The cubic root of 7805952000 is about 1983.6967972314.

It can be divided in two parts, 7805 and 952000, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 7805952000 in words is "seven billion, eight hundred five million, nine hundred fifty-two thousand".