75799680 has 256 divisors, whose sum is σ = 273490560. Its totient is φ = 17694720.

The previous prime is 75799663. The next prime is 75799729. The reversal of 75799680 is 8699757.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781392 + ... + 781488.

Almost surely, 2^75799680 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 75799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

75799680 is an abundant number, since it is smaller than the sum of its proper divisors (197690880).

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

75799680 is a wasteful number, since it uses less digits than its factorization.

75799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 75799680 is about 8706.3011663967. The cubic root of 75799680 is about 423.2098729953.

The spelling of 75799680 in words is "seventy-five million, seven hundred ninety-nine thousand, six hundred eighty".