976820 has 54 divisors (see below), whose sum is σ = 2359602. Its totient is φ = 339456.

The previous prime is 976817. The next prime is 976823. The reversal of 976820 is 28679.

It is an interprime number because it is at equal distance from previous prime (976817) and next prime (976823).

It can be written as a sum of positive squares in 9 ways, for example, as 274576 + 702244 = 524^2 + 838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57452 + ... + 57468.

2⁹⁷⁶⁸²⁰ 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 976820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179801).

976820 is an abundant number, since it is smaller than the sum of its proper divisors (1382782).

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

976820 is a wasteful number, since it uses less digits than its factorization.

976820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 976820 is about 988.3420460549. The cubic root of 976820 is about 99.2212851048.

The spelling of 976820 in words is "nine hundred seventy-six thousand, eight hundred twenty".