1772052480 has 672 divisors, whose sum is σ = 7360554240. Its totient is φ = 389283840.

The previous prime is 1772052427. The next prime is 1772052487. The reversal of 1772052480 is 842502771.

1772052480 is a `hidden beast` number, since 177 + 2 + 0 + 5 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772052487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77045749 + ... + 77045771.

Almost surely, 2^1772052480 is an apocalyptic number.

1772052480 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 1772052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680277120).

1772052480 is an abundant number, since it is smaller than the sum of its proper divisors (5588501760).

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

1772052480 is a wasteful number, since it uses less digits than its factorization.

1772052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1772052480 is about 42095.7537050948. The cubic root of 1772052480 is about 1210.1118854716. Note that the first 3 decimals are identical.

The spelling of 1772052480 in words is "one billion, seven hundred seventy-two million, fifty-two thousand, four hundred eighty".