75860064 has 240 divisors, whose sum is σ = 264182688. Its totient is φ = 20901888.

The previous prime is 75860063. The next prime is 75860087. The reversal of 75860064 is 46006857.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75860063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671272 + ... + 671384.

Almost surely, 2^75860064 is an apocalyptic number.

75860064 is a gapful number since it is divisible by the number (74) 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 75860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132091344).

75860064 is an abundant number, since it is smaller than the sum of its proper divisors (188322624).

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

75860064 is a wasteful number, since it uses less digits than its factorization.

75860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 75860064 is about 8709.7683092032. The cubic root of 75860064 is about 423.3222231706.

The spelling of 75860064 in words is "seventy-five million, eight hundred sixty thousand, sixty-four".