88780500 has 144 divisors (see below), whose sum is σ = 284203920. Its totient is φ = 23328000.

The previous prime is 88780499. The next prime is 88780507. The reversal of 88780500 is 508788.

88780500 is a `hidden beast` number, since 88 + 78 + 0 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49617936 + 39162564 = 7044^2 + 6258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88780507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490410 + ... + 490590.

Almost surely, 2^88780500 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 88780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142101960).

88780500 is an abundant number, since it is smaller than the sum of its proper divisors (195423420).

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

88780500 is a wasteful number, since it uses less digits than its factorization.

88780500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 88780500 is about 9422.3404735766. The cubic root of 88780500 is about 446.1071618734.

The spelling of 88780500 in words is "eighty-eight million, seven hundred eighty thousand, five hundred".