75795720 has 256 divisors, whose sum is σ = 305786880. Its totient is φ = 14515200.

The previous prime is 75795701. The next prime is 75795739. The reversal of 75795720 is 2759757.

It is an interprime number because it is at equal distance from previous prime (75795701) and next prime (75795739).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119805 + ... + 120435.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 2^75795720 is an apocalyptic number.

75795720 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 75795720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152893440).

75795720 is an abundant number, since it is smaller than the sum of its proper divisors (229991160).

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

75795720 is a wasteful number, since it uses less digits than its factorization.

75795720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 75795720 is about 8706.0737419344. The cubic root of 75795720 is about 423.2025029541.

The spelling of 75795720 in words is "seventy-five million, seven hundred ninety-five thousand, seven hundred twenty".