977768 has 32 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 432000.

The previous prime is 977761. The next prime is 977791. The reversal of 977768 is 867779.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (977761) by changing a digit.

977768 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 7 ways as a sum of consecutive naturals, for example, 3473 + ... + 3743.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2⁹⁷⁷⁷⁶⁸ 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 977768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028160).

977768 is an abundant number, since it is smaller than the sum of its proper divisors (1078552).

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

977768 is a wasteful number, since it uses less digits than its factorization.

977768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its digits is 148176, while the sum is 44.

The square root of 977768 is about 988.8215208014. The cubic root of 977768 is about 99.2533726835.

977768 divided by its sum of digits (44) gives a palindrome (22222).

It can be divided in two parts, 9 and 77768, that added together give a palindrome (77777).

The spelling of 977768 in words is "nine hundred seventy-seven thousand, seven hundred sixty-eight".