5007772000 has 384 divisors, whose sum is σ = 15624161280. Its totient is φ = 1532160000.

The previous prime is 5007771953. The next prime is 5007772039. The reversal of 5007772000 is 2777005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5007772000.

It is a congruent number.

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, 21867886 + ... + 21868114.

It is an arithmetic number, because the mean of its divisors is an integer number (40687920).

Almost surely, 2^5007772000 is an apocalyptic number.

5007772000 is a gapful number since it is divisible by the number (50) 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 5007772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812080640).

5007772000 is an abundant number, since it is smaller than the sum of its proper divisors (10616389280).

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

5007772000 is a wasteful number, since it uses less digits than its factorization.

5007772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 5007772000 is about 70765.6131182370. The cubic root of 5007772000 is about 1710.8614835461.

The spelling of 5007772000 in words is "five billion, seven million, seven hundred seventy-two thousand".