75380760 has 384 divisors, whose sum is σ = 316224000. Its totient is φ = 15634944.

The previous prime is 75380743. The next prime is 75380777. The reversal of 75380760 is 6708357.

It is an interprime number because it is at equal distance from previous prime (75380743) and next prime (75380777).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1277611 + ... + 1277669.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 2^75380760 is an apocalyptic number.

75380760 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 75380760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158112000).

75380760 is an abundant number, since it is smaller than the sum of its proper divisors (240843240).

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

75380760 is a wasteful number, since it uses less digits than its factorization.

75380760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75380760 is about 8682.2093962309. The cubic root of 75380760 is about 422.4287848411.

The spelling of 75380760 in words is "seventy-five million, three hundred eighty thousand, seven hundred sixty".