1400790720 has 224 divisors, whose sum is σ = 5120640000. Its totient is φ = 317804544.

The previous prime is 1400790697. The next prime is 1400790731. The reversal of 1400790720 is 270970041.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 1000581 + ... + 1001979.

It is an arithmetic number, because the mean of its divisors is an integer number (22860000).

Almost surely, 2^1400790720 is an apocalyptic number.

1400790720 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 1400790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320000).

1400790720 is an abundant number, since it is smaller than the sum of its proper divisors (3719849280).

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

1400790720 is a wasteful number, since it uses less digits than its factorization.

1400790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1400790720 is about 37427.1388166395. The cubic root of 1400790720 is about 1118.8995142808.

The spelling of 1400790720 in words is "one billion, four hundred million, seven hundred ninety thousand, seven hundred twenty".