772100560 has 320 divisors, whose sum is σ = 2425987584. Its totient is φ = 221184000.

The previous prime is 772100533. The next prime is 772100591. The reversal of 772100560 is 65001277.

It is a super-2 number, since 2×772100560² = 1192278549504627200, which contains 22 as substring.

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

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, 7644510 + ... + 7644610.

Almost surely, 2^772100560 is an apocalyptic number.

772100560 is a gapful number since it is divisible by the number (70) 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 772100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212993792).

772100560 is an abundant number, since it is smaller than the sum of its proper divisors (1653887024).

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

772100560 is a wasteful number, since it uses less digits than its factorization.

772100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 772100560 is about 27786.6975367711. The cubic root of 772100560 is about 917.3983523768.

The spelling of 772100560 in words is "seven hundred seventy-two million, one hundred thousand, five hundred sixty".