973877760 has 240 divisors, whose sum is σ = 3454761024. Its totient is φ = 253403136.

The previous prime is 973877747. The next prime is 973877767. The reversal of 973877760 is 67778379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 973877697 and 973877706.

It is not an unprimeable number, because it can be changed into a prime (973877767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990229 + ... + 991211.

Almost surely, 2^973877760 is an apocalyptic number.

973877760 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 973877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727380512).

973877760 is an abundant number, since it is smaller than the sum of its proper divisors (2480883264).

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

973877760 is a wasteful number, since it uses less digits than its factorization.

973877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 973877760 is about 31207.0145960808. The cubic root of 973877760 is about 991.2156477703.

The spelling of 973877760 in words is "nine hundred seventy-three million, eight hundred seventy-seven thousand, seven hundred sixty".