75540780 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 17115264.

The previous prime is 75540767. The next prime is 75540793. The reversal of 75540780 is 8704557.

It is an interprime number because it is at equal distance from previous prime (75540767) and next prime (75540793).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210241 + ... + 210599.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^75540780 is an apocalyptic number.

75540780 is a gapful number since it is divisible by the number (70) 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 75540780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

75540780 is an abundant number, since it is smaller than the sum of its proper divisors (188635860).

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

75540780 is a wasteful number, since it uses less digits than its factorization.

75540780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75540780 is about 8691.4199070117. The cubic root of 75540780 is about 422.7274874025.

The spelling of 75540780 in words is "seventy-five million, five hundred forty thousand, seven hundred eighty".