977961600 has 960 divisors, whose sum is σ = 4591224000. Its totient is φ = 203212800.

The previous prime is 977961583. The next prime is 977961631. The reversal of 977961600 is 6169779.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88905595 + ... + 88905605.

It is an arithmetic number, because the mean of its divisors is an integer number (4782525).

Almost surely, 2^977961600 is an apocalyptic number.

977961600 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 977961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295612000).

977961600 is an abundant number, since it is smaller than the sum of its proper divisors (3613262400).

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

977961600 is a wasteful number, since it uses less digits than its factorization.

977961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 977961600 is about 31272.3775878970. The cubic root of 977961600 is about 992.5992303927.

It can be divided in two parts, 97 and 7961600, that added together give a palindrome (7961697).

The spelling of 977961600 in words is "nine hundred seventy-seven million, nine hundred sixty-one thousand, six hundred".