397782000 has 720 divisors, whose sum is σ = 1806071904. Its totient is φ = 80640000.

The previous prime is 397781981. The next prime is 397782001. The reversal of 397782000 is 287793.

397782000 = 98³ + 99³ + ... + 202³.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397782001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9701980 + ... + 9702020.

Almost surely, 2^397782000 is an apocalyptic number.

397782000 is a gapful number since it is divisible by the number (30) 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 397782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903035952).

397782000 is an abundant number, since it is smaller than the sum of its proper divisors (1408289904).

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

397782000 is a wasteful number, since it uses less digits than its factorization.

397782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 397782000 is about 19944.4729185807. The cubic root of 397782000 is about 735.4419111230.

The spelling of 397782000 in words is "three hundred ninety-seven million, seven hundred eighty-two thousand".