920306700180 has 384 divisors, whose sum is σ = 3316360642560. Its totient is φ = 207530864640.

The previous prime is 920306700161. The next prime is 920306700197. The reversal of 920306700180 is 81007603029.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121360669 + ... + 121368251.

It is an arithmetic number, because the mean of its divisors is an integer number (8636355840).

Almost surely, 2^920306700180 is an apocalyptic number.

920306700180 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 920306700180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658180321280).

920306700180 is an abundant number, since it is smaller than the sum of its proper divisors (2396053942380).

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

920306700180 is a wasteful number, since it uses less digits than its factorization.

920306700180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 920306700180 in words is "nine hundred twenty billion, three hundred six million, seven hundred thousand, one hundred eighty".