1390764000 has 192 divisors, whose sum is σ = 4755179520. Its totient is φ = 354675200.

The previous prime is 1390763987. The next prime is 1390764031. The reversal of 1390764000 is 4670931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273481 + ... + 278519.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^1390764000 is an apocalyptic number.

1390764000 is a gapful number since it is divisible by the number (10) 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 1390764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1390764000 is an abundant number, since it is smaller than the sum of its proper divisors (3364415520).

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

1390764000 is a wasteful number, since it uses less digits than its factorization.

1390764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1390764000 is about 37292.9483951055. The cubic root of 1390764000 is about 1116.2234621443.

The spelling of 1390764000 in words is "one billion, three hundred ninety million, seven hundred sixty-four thousand".