150776680 has 64 divisors (see below), whose sum is σ = 351766800. Its totient is φ = 58122240.

The previous prime is 150776669. The next prime is 150776687. The reversal of 150776680 is 86677051.

It can be written as a sum of positive squares in 8 ways, for example, as 43322724 + 107453956 = 6582^2 + 10366^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (150776687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145444 + ... + 146476.

Almost surely, 2^150776680 is an apocalyptic number.

150776680 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 150776680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175883400).

150776680 is an abundant number, since it is smaller than the sum of its proper divisors (200990120).

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

150776680 is a wasteful number, since it uses less digits than its factorization.

150776680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 150776680 is about 12279.1156033324. The cubic root of 150776680 is about 532.2447570705.

It can be divided in two parts, 1507 and 76680, that added together give a palindrome (78187).

The spelling of 150776680 in words is "one hundred fifty million, seven hundred seventy-six thousand, six hundred eighty".