1002078720 has 480 divisors, whose sum is σ = 3799471104. Its totient is φ = 243302400.

The previous prime is 1002078713. The next prime is 1002078757. The reversal of 1002078720 is 278702001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1002078720² = 2008323522153676800, which contains 22 as substring.

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, 16427490 + ... + 16427550.

Almost surely, 2^1002078720 is an apocalyptic number.

1002078720 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 1002078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899735552).

1002078720 is an abundant number, since it is smaller than the sum of its proper divisors (2797392384).

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

1002078720 is a wasteful number, since it uses less digits than its factorization.

1002078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1002078720 is about 31655.6269879464. The cubic root of 1002078720 is about 1000.6924271007.

The spelling of 1002078720 in words is "one billion, two million, seventy-eight thousand, seven hundred twenty".