1012773720 has 512 divisors, whose sum is σ = 3981312000. Its totient is φ = 200724480.

The previous prime is 1012773709. The next prime is 1012773781. The reversal of 1012773720 is 273772101.

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 127 ways as a sum of consecutive naturals, for example, 11379436 + ... + 11379524.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2^1012773720 is an apocalyptic number.

1012773720 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 1012773720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990656000).

1012773720 is an abundant number, since it is smaller than the sum of its proper divisors (2968538280).

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

1012773720 is a wasteful number, since it uses less digits than its factorization.

1012773720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 1012773720 is about 31824.1059575913. The cubic root of 1012773720 is about 1004.2399044701.

The spelling of 1012773720 in words is "one billion, twelve million, seven hundred seventy-three thousand, seven hundred twenty".