120772806 has 64 divisors (see below), whose sum is σ = 305358336. Its totient is φ = 30931200.

The previous prime is 120772801. The next prime is 120772819. The reversal of 120772806 is 608277021.

It is a super-2 number, since 2×120772806² = 29172141338227272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120772801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31936 + ... + 35516.

It is an arithmetic number, because the mean of its divisors is an integer number (4771224).

Almost surely, 2^120772806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120772806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152679168).

120772806 is an abundant number, since it is smaller than the sum of its proper divisors (184585530).

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

120772806 is a wasteful number, since it uses less digits than its factorization.

120772806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 120772806 is about 10989.6681478560. The cubic root of 120772806 is about 494.2989852509.

The spelling of 120772806 in words is "one hundred twenty million, seven hundred seventy-two thousand, eight hundred six".