75797046000 has 1280 divisors, whose sum is σ = 312673320960. Its totient is φ = 17635968000.

The previous prime is 75797045981. The next prime is 75797046019. The reversal of 75797046000 is 64079757.

75797046000 is a `hidden beast` number, since 7 + 579 + 70 + 4 + 6 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75797045981) and next prime (75797046019).

It is a super-4 number, since 4×75797046000⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 255 ways as a sum of consecutive naturals, for example, 1762721979 + ... + 1762722021.

It is an arithmetic number, because the mean of its divisors is an integer number (244276032).

Almost surely, 2^75797046000 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 75797046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156336660480).

75797046000 is an abundant number, since it is smaller than the sum of its proper divisors (236876274960).

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

75797046000 is a wasteful number, since it uses less digits than its factorization.

75797046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 75797046000 in words is "seventy-five billion, seven hundred ninety-seven million, forty-six thousand".