155407680 has 112 divisors (see below), whose sum is σ = 548274240. Its totient is φ = 41439744.

The previous prime is 155407673. The next prime is 155407691. The reversal of 155407680 is 86704551.

It is a super-3 number, since 3×155407680³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354 + ... + 17633.

Almost surely, 2^155407680 is an apocalyptic number.

155407680 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 155407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274137120).

155407680 is an abundant number, since it is smaller than the sum of its proper divisors (392866560).

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

155407680 is a wasteful number, since it uses less digits than its factorization.

155407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18013 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 155407680 is about 12466.2616690009. The cubic root of 155407680 is about 537.6390756036.

It can be divided in two parts, 15540 and 7680, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 155407680 in words is "one hundred fifty-five million, four hundred seven thousand, six hundred eighty".