896762880 has 352 divisors, whose sum is σ = 3438960000. Its totient is φ = 220299264.

The previous prime is 896762863. The next prime is 896762897. The reversal of 896762880 is 88267698.

896762880 is a `hidden beast` number, since 8 + 9 + 6 + 7 + 628 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (896762863) and next prime (896762897).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796871 + ... + 1797369.

Almost surely, 2^896762880 is an apocalyptic number.

896762880 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 896762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719480000).

896762880 is an abundant number, since it is smaller than the sum of its proper divisors (2542197120).

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

896762880 is a wasteful number, since it uses less digits than its factorization.

896762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 896762880 is about 29945.9993989180. Note that the first 3 decimals coincide. The cubic root of 896762880 is about 964.3304365854.

The spelling of 896762880 in words is "eight hundred ninety-six million, seven hundred sixty-two thousand, eight hundred eighty".