65378880 has 448 divisors, whose sum is σ = 280903680. Its totient is φ = 13989888.

The previous prime is 65378879. The next prime is 65378881. The reversal of 65378880 is 8887356.

It is an interprime number because it is at equal distance from previous prime (65378879) and next prime (65378881).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65378881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1391017 + ... + 1391063.

Almost surely, 2^65378880 is an apocalyptic number.

65378880 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 65378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

65378880 is an abundant number, since it is smaller than the sum of its proper divisors (215524800).

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

65378880 is a wasteful number, since it uses less digits than its factorization.

65378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 65378880 is about 8085.7207470948. The cubic root of 65378880 is about 402.8522795765.

The spelling of 65378880 in words is "sixty-five million, three hundred seventy-eight thousand, eight hundred eighty".