977798400 has 216 divisors, whose sum is σ = 3260457984. Its totient is φ = 258048000.

The previous prime is 977798389. The next prime is 977798413. The reversal of 977798400 is 4897779.

It is a super-2 number, since 2×977798400² = 1912179422085120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438200 + ... + 2438600.

Almost surely, 2^977798400 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 977798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630228992).

977798400 is an abundant number, since it is smaller than the sum of its proper divisors (2282659584).

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

977798400 is a wasteful number, since it uses less digits than its factorization.

977798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 977798400 is about 31269.7681475255. The cubic root of 977798400 is about 992.5440130896.

The spelling of 977798400 in words is "nine hundred seventy-seven million, seven hundred ninety-eight thousand, four hundred".