1077308496 has 180 divisors, whose sum is σ = 3509876916. Its totient is φ = 307169280.

The previous prime is 1077308473. The next prime is 1077308509. The reversal of 1077308496 is 6948037701.

It can be written as a sum of positive squares in 2 ways, for example, as 366339600 + 710968896 = 19140^2 + 26664^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294390 + ... + 298026.

Almost surely, 2^1077308496 is an apocalyptic number.

1077308496 is a gapful number since it is divisible by the number (16) 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 1077308496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754938458).

1077308496 is an abundant number, since it is smaller than the sum of its proper divisors (2432568420).

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

1077308496 is a wasteful number, since it uses less digits than its factorization.

1077308496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1077308496 is about 32822.3779760090. The cubic root of 1077308496 is about 1025.1325613999.

The spelling of 1077308496 in words is "one billion, seventy-seven million, three hundred eight thousand, four hundred ninety-six".