92765680920 has 960 divisors, whose sum is σ = 375417504000. Its totient is φ = 20437401600.

The previous prime is 92765680897. The next prime is 92765680927. The reversal of 92765680920 is 2908656729.

92765680920 is a `hidden beast` number, since 9 + 2 + 76 + 568 + 0 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92765680927) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 206604856 + ... + 206605304.

It is an arithmetic number, because the mean of its divisors is an integer number (391059900).

Almost surely, 2^92765680920 is an apocalyptic number.

92765680920 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 92765680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708752000).

92765680920 is an abundant number, since it is smaller than the sum of its proper divisors (282651823080).

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

92765680920 is a wasteful number, since it uses less digits than its factorization.

92765680920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 92765680920 in words is "ninety-two billion, seven hundred sixty-five million, six hundred eighty thousand, nine hundred twenty".