75680496 has 120 divisors (see below), whose sum is σ = 225680000. Its totient is φ = 23607936.

The previous prime is 75680491. The next prime is 75680509. The reversal of 75680496 is 69408657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75680491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380205 + ... + 380403.

Almost surely, 2^75680496 is an apocalyptic number.

75680496 is a gapful number since it is divisible by the number (76) 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 75680496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112840000).

75680496 is an abundant number, since it is smaller than the sum of its proper divisors (149999504).

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

75680496 is a wasteful number, since it uses less digits than its factorization.

75680496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 75680496 is about 8699.4537759563. The cubic root of 75680496 is about 422.9879445955.

It can be divided in two parts, 756804 and 96, that added together give a square (756900 = 870²).

The spelling of 75680496 in words is "seventy-five million, six hundred eighty thousand, four hundred ninety-six".