1070400780 has 36 divisors (see below), whose sum is σ = 3246882912. Its totient is φ = 285440160.

The previous prime is 1070400761. The next prime is 1070400781. The reversal of 1070400780 is 870040701.

1070400780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1070400780² = 2291515659649216800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070400781) 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, 2973156 + ... + 2973515.

It is an arithmetic number, because the mean of its divisors is an integer number (90191192).

Almost surely, 2^1070400780 is an apocalyptic number.

1070400780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070400780 is an abundant number, since it is smaller than the sum of its proper divisors (2176482132).

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

1070400780 is a wasteful number, since it uses less digits than its factorization.

1070400780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946686 (or 5946681 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1070400780 is about 32716.9799951035. The cubic root of 1070400780 is about 1022.9368072121.

The spelling of 1070400780 in words is "one billion, seventy million, four hundred thousand, seven hundred eighty".