973080000 has 560 divisors, whose sum is σ = 3856390560. Its totient is φ = 239616000.

The previous prime is 973079957. The next prime is 973080011. The reversal of 973080000 is 80379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18359974 + ... + 18360026.

Almost surely, 2^973080000 is an apocalyptic number.

973080000 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 973080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928195280).

973080000 is an abundant number, since it is smaller than the sum of its proper divisors (2883310560).

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

973080000 is a wasteful number, since it uses less digits than its factorization.

973080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 973080000 is about 31194.2302357343. The cubic root of 973080000 is about 990.9449196759.

The spelling of 973080000 in words is "nine hundred seventy-three million, eighty thousand".