75795690000 has 400 divisors, whose sum is σ = 260432884800. Its totient is φ = 18923520000.

The previous prime is 75795689993. The next prime is 75795690001. The reversal of 75795690000 is 9659757.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×75795690000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75795690001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168809776 + ... + 168810224.

It is an arithmetic number, because the mean of its divisors is an integer number (651082212).

Almost surely, 2^75795690000 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 75795690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130216442400).

75795690000 is an abundant number, since it is smaller than the sum of its proper divisors (184637194800).

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

75795690000 is a wasteful number, since it uses less digits than its factorization.

75795690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The spelling of 75795690000 in words is "seventy-five billion, seven hundred ninety-five million, six hundred ninety thousand".