87402700 has 72 divisors (see below), whose sum is σ = 236484864. Its totient is φ = 27240000.

The previous prime is 87402647. The next prime is 87402701. The reversal of 87402700 is 720478.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (87402701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025 + ... + 13375.

It is an arithmetic number, because the mean of its divisors is an integer number (3284512).

Almost surely, 2^87402700 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 87402700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118242432).

87402700 is an abundant number, since it is smaller than the sum of its proper divisors (149082164).

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

87402700 is a wasteful number, since it uses less digits than its factorization.

87402700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 87402700 is about 9348.9411165115. The cubic root of 87402700 is about 443.7873816290.

The spelling of 87402700 in words is "eighty-seven million, four hundred two thousand, seven hundred".