107772480 has 168 divisors, whose sum is σ = 387047232. Its totient is φ = 27472896.

The previous prime is 107772449. The next prime is 107772481. The reversal of 107772480 is 84277701.

107772480 is a `hidden beast` number, since 107 + 7 + 72 + 480 = 666.

It is a super-2 number, since 2×107772480² = 23229814890700800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107772481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65427 + ... + 67053.

Almost surely, 2^107772480 is an apocalyptic number.

107772480 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 107772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193523616).

107772480 is an abundant number, since it is smaller than the sum of its proper divisors (279274752).

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

107772480 is a wasteful number, since it uses less digits than its factorization.

107772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 107772480 is about 10381.3525130399. The cubic root of 107772480 is about 475.8856679951.

The spelling of 107772480 in words is "one hundred seven million, seven hundred seventy-two thousand, four hundred eighty".