75677220 has 48 divisors (see below), whose sum is σ = 235441920. Its totient is φ = 20180448.

The previous prime is 75677213. The next prime is 75677233. The reversal of 75677220 is 2277657.

75677220 is a `hidden beast` number, since 7 + 567 + 72 + 20 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 69532 + ... + 70611.

It is an arithmetic number, because the mean of its divisors is an integer number (4905040).

Almost surely, 2^75677220 is an apocalyptic number.

It is an amenable number.

75677220 is an abundant number, since it is smaller than the sum of its proper divisors (159764700).

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

75677220 is a wasteful number, since it uses less digits than its factorization.

75677220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140161 (or 140153 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 75677220 is about 8699.2654862350. The cubic root of 75677220 is about 422.9818411801.

The spelling of 75677220 in words is "seventy-five million, six hundred seventy-seven thousand, two hundred twenty".