75652380 has 240 divisors, whose sum is σ = 261255456. Its totient is φ = 18247680.

The previous prime is 75652373. The next prime is 75652391. The reversal of 75652380 is 8325657.

75652380 is a `hidden beast` number, since 7 + 56 + 523 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1129107 + ... + 1129173.

Almost surely, 2^75652380 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 75652380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130627728).

75652380 is an abundant number, since it is smaller than the sum of its proper divisors (185603076).

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

75652380 is a wasteful number, since it uses less digits than its factorization.

75652380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75652380 is about 8697.8376623158. The cubic root of 75652380 is about 422.9355568041.

The spelling of 75652380 in words is "seventy-five million, six hundred fifty-two thousand, three hundred eighty".