1205776992 has 96 divisors (see below), whose sum is σ = 3734083584. Its totient is φ = 333388800.

The previous prime is 1205776991. The next prime is 1205776997. The reversal of 1205776992 is 2996775021.

1205776992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205776991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8109 + ... + 49772.

It is an arithmetic number, because the mean of its divisors is an integer number (38896704).

Almost surely, 2^1205776992 is an apocalyptic number.

1205776992 is a gapful number since it is divisible by the number (12) 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 1205776992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867041792).

1205776992 is an abundant number, since it is smaller than the sum of its proper divisors (2528306592).

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

1205776992 is a wasteful number, since it uses less digits than its factorization.

1205776992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57932 (or 57924 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 1205776992 is about 34724.2997337599. The cubic root of 1205776992 is about 1064.3611094571.

The spelling of 1205776992 in words is "one billion, two hundred five million, seven hundred seventy-six thousand, nine hundred ninety-two".