75697920 has 108 divisors (see below), whose sum is σ = 261946776. Its totient is φ = 20183040.

The previous prime is 75697913. The next prime is 75697933. The reversal of 75697920 is 2979657.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8235 + ... + 14805.

Almost surely, 2^75697920 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 75697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130973388).

75697920 is an abundant number, since it is smaller than the sum of its proper divisors (186248856).

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

75697920 is a wasteful number, since it uses less digits than its factorization.

75697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6581 counting only the distinct ones).

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

The square root of 75697920 is about 8700.4551605074. The cubic root of 75697920 is about 423.0204037573.

The spelling of 75697920 in words is "seventy-five million, six hundred ninety-seven thousand, nine hundred twenty".