977976 has 72 divisors (see below), whose sum is σ = 2873520. Its totient is φ = 300288.

The previous prime is 977971. The next prime is 978001. The reversal of 977976 is 679779.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977971) by changing a digit.

977976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20785 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (39910).

2⁹⁷⁷⁹⁷⁶ 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 977976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436760).

977976 is an abundant number, since it is smaller than the sum of its proper divisors (1895544).

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

977976 is a wasteful number, since it uses less digits than its factorization.

977976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 977976 is about 988.9266909129. The cubic root of 977976 is about 99.2604102213.

It can be divided in two parts, 977 and 976, that added together give a triangular number (1953 = T₆₂).

The spelling of 977976 in words is "nine hundred seventy-seven thousand, nine hundred seventy-six".