977776790400 has 672 divisors, whose sum is σ = 3710155972320. Its totient is φ = 254356070400.

The previous prime is 977776790377. The next prime is 977776790443. The reversal of 977776790400 is 4097677779.

977776790400 is a `hidden beast` number, since 9 + 7 + 77 + 76 + 7 + 90 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 95639689 + ... + 95649911.

It is an arithmetic number, because the mean of its divisors is an integer number (5521065435).

Almost surely, 2^977776790400 is an apocalyptic number.

977776790400 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 977776790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855077986160).

977776790400 is an abundant number, since it is smaller than the sum of its proper divisors (2732379181920).

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

977776790400 is a wasteful number, since it uses less digits than its factorization.

977776790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 32672808, while the sum is 63.

The spelling of 977776790400 in words is "nine hundred seventy-seven billion, seven hundred seventy-six million, seven hundred ninety thousand, four hundred".