75677004 has 144 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 22643712.

The previous prime is 75676987. The next prime is 75677009. The reversal of 75677004 is 40077657.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 75677004.

It is not an unprimeable number, because it can be changed into a prime (75677009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669652 + ... + 669764.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^75677004 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 75677004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

75677004 is an abundant number, since it is smaller than the sum of its proper divisors (143919828).

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

75677004 is a wasteful number, since it uses less digits than its factorization.

75677004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

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

The square root of 75677004 is about 8699.2530713849. The cubic root of 75677004 is about 422.9814387510.

The spelling of 75677004 in words is "seventy-five million, six hundred seventy-seven thousand, four".