86778000 has 160 divisors (see below), whose sum is σ = 311051520. Its totient is φ = 23126400.

The previous prime is 86777993. The next prime is 86778007. The reversal of 86778000 is 87768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86777993) and next prime (86778007).

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

It is not an unprimeable number, because it can be changed into a prime (86778007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53197 + ... + 54803.

It is an arithmetic number, because the mean of its divisors is an integer number (1944072).

Almost surely, 2^86778000 is an apocalyptic number.

86778000 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 86778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155525760).

86778000 is an abundant number, since it is smaller than the sum of its proper divisors (224273520).

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

86778000 is a wasteful number, since it uses less digits than its factorization.

86778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 86778000 is about 9315.4710025849. The cubic root of 86778000 is about 442.7275474321.

The spelling of 86778000 in words is "eighty-six million, seven hundred seventy-eight thousand".