972780 has 48 divisors (see below), whose sum is σ = 2817024. Its totient is φ = 250560.

The previous prime is 972721. The next prime is 972787. The reversal of 972780 is 87279.

It is not an unprimeable number, because it can be changed into a prime (972787) by changing a digit.

972780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (58688).

2⁹⁷²⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408512).

972780 is an abundant number, since it is smaller than the sum of its proper divisors (1844244).

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

972780 is a wasteful number, since it uses less digits than its factorization.

972780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 972780 is about 986.2961015841. The cubic root of 972780 is about 99.0843073294.

The spelling of 972780 in words is "nine hundred seventy-two thousand, seven hundred eighty".