87761400 has 96 divisors (see below), whose sum is σ = 274803840. Its totient is φ = 23167360.

The previous prime is 87761393. The next prime is 87761407. The reversal of 87761400 is 416778.

It is an interprime number because it is at equal distance from previous prime (87761393) and next prime (87761407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87761407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63517 + ... + 64883.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2^87761400 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 87761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

87761400 is an abundant number, since it is smaller than the sum of its proper divisors (187042440).

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

87761400 is a wasteful number, since it uses less digits than its factorization.

87761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 87761400 is about 9368.1054648205. The cubic root of 87761400 is about 444.3936529920.

The spelling of 87761400 in words is "eighty-seven million, seven hundred sixty-one thousand, four hundred".