89780000 has 90 divisors (see below), whose sum is σ = 224218071. Its totient is φ = 35376000.

The previous prime is 89779993. The next prime is 89780051. The reversal of 89780000 is 8798.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 20757136 + 69022864 = 4556^2 + 8308^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6700.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1339967 + ... + 1340033.

Almost surely, 2^89780000 is an apocalyptic number.

89780000 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 89780000

89780000 is an abundant number, since it is smaller than the sum of its proper divisors (134438071).

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

89780000 is an frugal number, since it uses more digits than its factorization.

89780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 89780000 is about 9475.2308678997. The cubic root of 89780000 is about 447.7750252223.

Multiplying 89780000 by its sum of digits (32), we get a square (2872960000 = 53600²).

89780000 divided by its sum of digits (32) gives a square (2805625 = 1675²).

Adding to 89780000 its reverse (8798), we get a palindrome (89788798).

The spelling of 89780000 in words is "eighty-nine million, seven hundred eighty thousand".