977887209600 has 2304 divisors, whose sum is σ = 4415297402880. Its totient is φ = 208899440640.

The previous prime is 977887209581. The next prime is 977887209601. The reversal of 977887209600 is 6902788779.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977887209601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9139132747 + ... + 9139132853.

It is an arithmetic number, because the mean of its divisors is an integer number (1916361720).

Almost surely, 2^977887209600 is an apocalyptic number.

977887209600 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 977887209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207648701440).

977887209600 is an abundant number, since it is smaller than the sum of its proper divisors (3437410193280).

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

977887209600 is a wasteful number, since it uses less digits than its factorization.

977887209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 977887209600 in words is "nine hundred seventy-seven billion, eight hundred eighty-seven million, two hundred nine thousand, six hundred".