1077068400 has 60 divisors (see below), whose sum is σ = 3450212952. Its totient is φ = 287217920.

The previous prime is 1077068393. The next prime is 1077068407. The reversal of 1077068400 is 48607701.

It is an interprime number because it is at equal distance from previous prime (1077068393) and next prime (1077068407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077068407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447579 + ... + 449978.

Almost surely, 2^1077068400 is an apocalyptic number.

1077068400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077068400 is an abundant number, since it is smaller than the sum of its proper divisors (2373144552).

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

1077068400 is a wasteful number, since it uses less digits than its factorization.

1077068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897578 (or 897567 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1077068400 is about 32818.7202675546. The cubic root of 1077068400 is about 1025.0563998313.

The spelling of 1077068400 in words is "one billion, seventy-seven million, sixty-eight thousand, four hundred".