78125000128 has 224 divisors, whose sum is σ = 199377239040. Its totient is φ = 29597736960.

The previous prime is 78125000119. The next prime is 78125000143. The reversal of 78125000128 is 82100052187.

It is a sliding number, since 78125000128 = 128 + 78125000000 and 1/128 + 1/78125000000 = 0.0078125000128.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×78125000128² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78125000093 and 78125000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8021950 + ... + 8031682.

It is an arithmetic number, because the mean of its divisors is an integer number (890076960).

Almost surely, 2^78125000128 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 78125000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99688619520).

78125000128 is an abundant number, since it is smaller than the sum of its proper divisors (121252238912).

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

78125000128 is a wasteful number, since it uses less digits than its factorization.

78125000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9825 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

It can be divided in two parts, 78125000 and 128, that multiplied together give a 10-th power (10000000000 = 10¹⁰).

The spelling of 78125000128 in words is "seventy-eight billion, one hundred twenty-five million, one hundred twenty-eight", and thus it is an aban number.