65378820 has 96 divisors (see below), whose sum is σ = 199825920. Its totient is φ = 15874560.

The previous prime is 65378779. The next prime is 65378861. The reversal of 65378820 is 2887356.

It is an interprime number because it is at equal distance from previous prime (65378779) and next prime (65378861).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61090 + ... + 62150.

It is an arithmetic number, because the mean of its divisors is an integer number (2081520).

Almost surely, 2^65378820 is an apocalyptic number.

65378820 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 65378820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99912960).

65378820 is an abundant number, since it is smaller than the sum of its proper divisors (134447100).

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

65378820 is a wasteful number, since it uses less digits than its factorization.

65378820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 65378820 is about 8085.7170368496. The cubic root of 65378820 is about 402.8521563403.

It can be divided in two parts, 65 and 378820, that added together give a triangular number (378885 = T₈₇₀).

The spelling of 65378820 in words is "sixty-five million, three hundred seventy-eight thousand, eight hundred twenty".