1077306048 has 672 divisors, whose sum is σ = 4283781120. Its totient is φ = 258785280.

The previous prime is 1077306019. The next prime is 1077306049. The reversal of 1077306048 is 8406037701.

1077306048 is a `hidden beast` number, since 10 + 7 + 7 + 30 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1077306049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34751793 + ... + 34751823.

Almost surely, 2^1077306048 is an apocalyptic number.

1077306048 is a gapful number since it is divisible by the number (18) 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 1077306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141890560).

1077306048 is an abundant number, since it is smaller than the sum of its proper divisors (3206475072).

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

1077306048 is a wasteful number, since it uses less digits than its factorization.

1077306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1077306048 is about 32822.3406843570. The cubic root of 1077306048 is about 1025.1317849196.

The spelling of 1077306048 in words is "one billion, seventy-seven million, three hundred six thousand, forty-eight".