75778053120 has 1584 divisors, whose sum is σ = 348603248448. Its totient is φ = 15606743040.

The previous prime is 75778053119. The next prime is 75778053121. The reversal of 75778053120 is 2135087757.

75778053120 is a `hidden beast` number, since 7 + 577 + 8 + 0 + 53 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (75778053119) and next prime (75778053121).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75778053121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670602184 + ... + 670602296.

Almost surely, 2^75778053120 is an apocalyptic number.

75778053120 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 75778053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174301624224).

75778053120 is an abundant number, since it is smaller than the sum of its proper divisors (272825195328).

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

75778053120 is a wasteful number, since it uses less digits than its factorization.

75778053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 75778053120 in words is "seventy-five billion, seven hundred seventy-eight million, fifty-three thousand, one hundred twenty".