1077263040 has 168 divisors, whose sum is σ = 3978901872. Its totient is φ = 246220800.

The previous prime is 1077263003. The next prime is 1077263081. The reversal of 1077263040 is 403627701.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1077262989 and 1077263007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35590 + ... + 58490.

Almost surely, 2^1077263040 is an apocalyptic number.

1077263040 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 1077263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989450936).

1077263040 is an abundant number, since it is smaller than the sum of its proper divisors (2901638832).

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

1077263040 is a wasteful number, since it uses less digits than its factorization.

1077263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22935 (or 22918 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1077263040 is about 32821.6855143059. The cubic root of 1077263040 is about 1025.1181430349.

The spelling of 1077263040 in words is "one billion, seventy-seven million, two hundred sixty-three thousand, forty".