87766400 has 48 divisors (see below), whose sum is σ = 216818340. Its totient is φ = 35105280.

The previous prime is 87766391. The next prime is 87766409. The reversal of 87766400 is 466778.

It is an interprime number because it is at equal distance from previous prime (87766391) and next prime (87766409).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87766409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10514 + ... + 16913.

Almost surely, 2^87766400 is an apocalyptic number.

87766400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87766400 is an abundant number, since it is smaller than the sum of its proper divisors (129051940).

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

87766400 is a wasteful number, since it uses less digits than its factorization.

87766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27451 (or 27434 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 87766400 is about 9368.3723239419. The cubic root of 87766400 is about 444.4020922606.

The spelling of 87766400 in words is "eighty-seven million, seven hundred sixty-six thousand, four hundred".