75880350 has 288 divisors, whose sum is σ = 268107840. Its totient is φ = 14929920.

The previous prime is 75880339. The next prime is 75880351. The reversal of 75880350 is 5308857.

75880350 = 312² + 313² + ... + 636².

It is a happy number.

It is a super-2 number, since 2×75880350² = 11515655032245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75880351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 696096 + ... + 696204.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 2^75880350 is an apocalyptic number.

75880350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75880350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

75880350 is an abundant number, since it is smaller than the sum of its proper divisors (192227490).

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

75880350 is a wasteful number, since it uses less digits than its factorization.

75880350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75880350 is about 8710.9327858732. The cubic root of 75880350 is about 423.3599538237.

The spelling of 75880350 in words is "seventy-five million, eight hundred eighty thousand, three hundred fifty".