76280136 has 48 divisors (see below), whose sum is σ = 201229200. Its totient is φ = 24029568.

The previous prime is 76280101. The next prime is 76280143. The reversal of 76280136 is 63108267.

It is a super-3 number, since 3×76280136³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76280097 and 76280106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186300 + ... + 186708.

It is an arithmetic number, because the mean of its divisors is an integer number (4192275).

Almost surely, 2^76280136 is an apocalyptic number.

76280136 is a gapful number since it is divisible by the number (76) 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 76280136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100614600).

76280136 is an abundant number, since it is smaller than the sum of its proper divisors (124949064).

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

76280136 is a wasteful number, since it uses less digits than its factorization.

76280136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 76280136 is about 8733.8500101616. The cubic root of 76280136 is about 424.1021618070.

The spelling of 76280136 in words is "seventy-six million, two hundred eighty thousand, one hundred thirty-six".