927972100080 has 200 divisors, whose sum is σ = 3240795221664. Its totient is φ = 246091737600.

The previous prime is 927972100051. The next prime is 927972100103. The reversal of 927972100080 is 80001279729.

927972100080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×927972100080² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 927972099999 and 927972100035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 777285 + ... + 1568475.

Almost surely, 2^927972100080 is an apocalyptic number.

927972100080 is a gapful number since it is divisible by the number (90) 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 927972100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620397610832).

927972100080 is an abundant number, since it is smaller than the sum of its proper divisors (2312823121584).

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

927972100080 is a wasteful number, since it uses less digits than its factorization.

927972100080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791397 (or 791382 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 927972100080 in words is "nine hundred twenty-seven billion, nine hundred seventy-two million, one hundred thousand, eighty".