75678120 has 192 divisors, whose sum is σ = 286416000. Its totient is φ = 16971264.

The previous prime is 75678107. The next prime is 75678137. The reversal of 75678120 is 2187657.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148426 + ... + 148934.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^75678120 is an apocalyptic number.

75678120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

75678120 is an abundant number, since it is smaller than the sum of its proper divisors (210737880).

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

75678120 is a wasteful number, since it uses less digits than its factorization.

75678120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75678120 is about 8699.3172145864. The cubic root of 75678120 is about 422.9835179601.

The spelling of 75678120 in words is "seventy-five million, six hundred seventy-eight thousand, one hundred twenty".