1077495720 has 256 divisors, whose sum is σ = 3947581440. Its totient is φ = 229920768.

The previous prime is 1077495709. The next prime is 1077495739. The reversal of 1077495720 is 275947701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830112 + ... + 831408.

It is an arithmetic number, because the mean of its divisors is an integer number (15420240).

Almost surely, 2^1077495720 is an apocalyptic number.

1077495720 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 1077495720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973790720).

1077495720 is an abundant number, since it is smaller than the sum of its proper divisors (2870085720).

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

1077495720 is a wasteful number, since it uses less digits than its factorization.

1077495720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 1077495720 is about 32825.2299306494. The cubic root of 1077495720 is about 1025.1919434314.

The spelling of 1077495720 in words is "one billion, seventy-seven million, four hundred ninety-five thousand, seven hundred twenty".