881772836400 has 720 divisors, whose sum is σ = 3253524205568. Its totient is φ = 229267584000.

The previous prime is 881772836393. The next prime is 881772836479. The reversal of 881772836400 is 4638277188.

It is a happy number.

881772836400 is a `hidden beast` number, since 88 + 17 + 72 + 83 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 753007815 + ... + 753008985.

Almost surely, 2^881772836400 is an apocalyptic number.

881772836400 is a gapful number since it is divisible by the number (80) 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 881772836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626762102784).

881772836400 is an abundant number, since it is smaller than the sum of its proper divisors (2371751369168).

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

881772836400 is a wasteful number, since it uses less digits than its factorization.

881772836400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 881772836400 in words is "eight hundred eighty-one billion, seven hundred seventy-two million, eight hundred thirty-six thousand, four hundred".