1207761984 has 504 divisors, whose sum is σ = 4328420096. Its totient is φ = 319334400.

The previous prime is 1207761983. The next prime is 1207762001. The reversal of 1207761984 is 4891677021.

It is a happy number.

1207761984 is a `hidden beast` number, since 1 + 20 + 7 + 7 + 619 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1207761983) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 28087467 + ... + 28087509.

Almost surely, 2^1207761984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1207761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164210048).

1207761984 is an abundant number, since it is smaller than the sum of its proper divisors (3120658112).

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

1207761984 is a wasteful number, since it uses less digits than its factorization.

1207761984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1207761984 is about 34752.8701548520. The cubic root of 1207761984 is about 1064.9448520012.

It can be divided in two parts, 120776 and 1984, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1207761984 in words is "one billion, two hundred seven million, seven hundred sixty-one thousand, nine hundred eighty-four".