387797760 has 432 divisors, whose sum is σ = 1607810400. Its totient is φ = 88252416.

The previous prime is 387797759. The next prime is 387797783. The reversal of 387797760 is 67797783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×387797760² = 300774205322035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 387797697 and 387797706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693326 + ... + 1693554.

Almost surely, 2^387797760 is an apocalyptic number.

387797760 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 387797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803905200).

387797760 is an abundant number, since it is smaller than the sum of its proper divisors (1220012640).

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

387797760 is a wasteful number, since it uses less digits than its factorization.

387797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 387797760 is about 19692.5813442525. The cubic root of 387797760 is about 729.2365572119.

The spelling of 387797760 in words is "three hundred eighty-seven million, seven hundred ninety-seven thousand, seven hundred sixty".