1772038840 has 64 divisors (see below), whose sum is σ = 4684145760. Its totient is φ = 594808320.

The previous prime is 1772038811. The next prime is 1772038871. The reversal of 1772038840 is 488302771.

It is a super-3 number, since 3×1772038840³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1772038793 and 1772038802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149179 + ... + 160618.

Almost surely, 2^1772038840 is an apocalyptic number.

1772038840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1772038840 is an abundant number, since it is smaller than the sum of its proper divisors (2912106920).

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

1772038840 is a wasteful number, since it uses less digits than its factorization.

1772038840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309832 (or 309828 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 1772038840 is about 42095.5916931928. The cubic root of 1772038840 is about 1210.1087806034.

The spelling of 1772038840 in words is "one billion, seven hundred seventy-two million, thirty-eight thousand, eight hundred forty".