393077020 has 72 divisors (see below), whose sum is σ = 993414240. Its totient is φ = 130112640.

The previous prime is 393076979. The next prime is 393077023. The reversal of 393077020 is 20770393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393077023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21505 + ... + 35335.

It is an arithmetic number, because the mean of its divisors is an integer number (13797420).

Almost surely, 2^393077020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393077020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496707120).

393077020 is an abundant number, since it is smaller than the sum of its proper divisors (600337220).

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

393077020 is a wasteful number, since it uses less digits than its factorization.

393077020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 393077020 is about 19826.1700789638. The cubic root of 393077020 is about 732.5307919200.

The spelling of 393077020 in words is "three hundred ninety-three million, seventy-seven thousand, twenty".