75679560 has 192 divisors, whose sum is σ = 277992000. Its totient is φ = 17687040.

The previous prime is 75679553. The next prime is 75679567. The reversal of 75679560 is 6597657.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75679553) and next prime (75679567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (75679567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114511 + ... + 115169.

It is an arithmetic number, because the mean of its divisors is an integer number (1447875).

Almost surely, 2^75679560 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 75679560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138996000).

75679560 is an abundant number, since it is smaller than the sum of its proper divisors (202312440).

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

75679560 is a wasteful number, since it uses less digits than its factorization.

75679560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 75679560 is about 8699.3999793089. The cubic root of 75679560 is about 422.9862007805.

The spelling of 75679560 in words is "seventy-five million, six hundred seventy-nine thousand, five hundred sixty".