75679920 has 240 divisors, whose sum is σ = 280294560. Its totient is φ = 18911232.

The previous prime is 75679909. The next prime is 75679921. The reversal of 75679920 is 2997657.

It is a tau number, because it is divible by the number of its divisors (240).

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 (75679921) 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, 330366 + ... + 330594.

It is an arithmetic number, because the mean of its divisors is an integer number (1167894).

Almost surely, 2^75679920 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 75679920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

75679920 is an abundant number, since it is smaller than the sum of its proper divisors (204614640).

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

75679920 is a wasteful number, since it uses less digits than its factorization.

75679920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 75679920 is about 8699.4206703665. The cubic root of 75679920 is about 422.9868714803.

The spelling of 75679920 in words is "seventy-five million, six hundred seventy-nine thousand, nine hundred twenty".