890777088 has 200 divisors, whose sum is σ = 2721245472. Its totient is φ = 289972224.

The previous prime is 890777081. The next prime is 890777089. The reversal of 890777088 is 880777098.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890777081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1948956 + ... + 1949412.

Almost surely, 2^890777088 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 890777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360622736).

890777088 is an abundant number, since it is smaller than the sum of its proper divisors (1830468384).

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

890777088 is an equidigital number, since it uses as much as digits as its factorization.

890777088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The square root of 890777088 is about 29845.8889631386. Note that the first 3 decimals coincide. The cubic root of 890777088 is about 962.1800456287.

The spelling of 890777088 in words is "eight hundred ninety million, seven hundred seventy-seven thousand, eighty-eight".