107770793760 has 768 divisors, whose sum is σ = 458273894400. Its totient is φ = 23105544192.

The previous prime is 107770793737. The next prime is 107770793771. The reversal of 107770793760 is 67397077701.

It is a super-2 number, since 2×107770793760² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107770793697 and 107770793706.

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, 61477044 + ... + 61478796.

It is an arithmetic number, because the mean of its divisors is an integer number (596710800).

Almost surely, 2^107770793760 is an apocalyptic number.

107770793760 is a gapful number since it is divisible by the number (10) 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 107770793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229136947200).

107770793760 is an abundant number, since it is smaller than the sum of its proper divisors (350503100640).

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

107770793760 is a wasteful number, since it uses less digits than its factorization.

107770793760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 2722734, while the sum is 54.

The spelling of 107770793760 in words is "one hundred seven billion, seven hundred seventy million, seven hundred ninety-three thousand, seven hundred sixty".