75678800 has 60 divisors (see below), whose sum is σ = 183278076. Its totient is φ = 30028800.

The previous prime is 75678797. The next prime is 75678803. The reversal of 75678800 is 887657.

It is an interprime number because it is at equal distance from previous prime (75678797) and next prime (75678803).

It can be written as a sum of positive squares in 6 ways, for example, as 1098304 + 74580496 = 1048^2 + 8636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75678803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54110 + ... + 55490.

Almost surely, 2^75678800 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 75678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91639038).

75678800 is an abundant number, since it is smaller than the sum of its proper divisors (107599276).

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

75678800 is a wasteful number, since it uses less digits than its factorization.

75678800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 75678800 is about 8699.3562980257. The cubic root of 75678800 is about 422.9847848518.

The spelling of 75678800 in words is "seventy-five million, six hundred seventy-eight thousand, eight hundred".