67764000 has 96 divisors (see below), whose sum is σ = 222034176. Its totient is φ = 18067200.

The previous prime is 67763999. The next prime is 67764017. The reversal of 67764000 is 46776.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9177 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (2312856).

Almost surely, 2^67764000 is an apocalyptic number.

67764000 is a gapful number since it is divisible by the number (60) 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 67764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111017088).

67764000 is an abundant number, since it is smaller than the sum of its proper divisors (154270176).

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

67764000 is a wasteful number, since it uses less digits than its factorization.

67764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 67764000 is about 8231.8892120825. The cubic root of 67764000 is about 407.6927714027.

The spelling of 67764000 in words is "sixty-seven million, seven hundred sixty-four thousand".