977028998400 has 2160 divisors, whose sum is σ = 4508221872000. Its totient is φ = 203285790720.

The previous prime is 977028998371. The next prime is 977028998401. The reversal of 977028998400 is 4899820779.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (977028998401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6557241526 + ... + 6557241674.

Almost surely, 2^977028998400 is an apocalyptic number.

977028998400 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 977028998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254110936000).

977028998400 is an abundant number, since it is smaller than the sum of its proper divisors (3531192873600).

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

977028998400 is a wasteful number, since it uses less digits than its factorization.

977028998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

It can be divided in two parts, 9770289 and 98400, that added together give a palindrome (9868689).

The spelling of 977028998400 in words is "nine hundred seventy-seven billion, twenty-eight million, nine hundred ninety-eight thousand, four hundred".