76741280 has 96 divisors (see below), whose sum is σ = 226074240. Its totient is φ = 23915520.

The previous prime is 76741277. The next prime is 76741307. The reversal of 76741280 is 8214767.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 76741280.

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, 9206 + ... + 15434.

It is an arithmetic number, because the mean of its divisors is an integer number (2354940).

Almost surely, 2^76741280 is an apocalyptic number.

76741280 is a gapful number since it is divisible by the number (70) 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 76741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113037120).

76741280 is an abundant number, since it is smaller than the sum of its proper divisors (149332960).

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

76741280 is a wasteful number, since it uses less digits than its factorization.

76741280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 76741280 is about 8760.2100431439. The cubic root of 76741280 is about 424.9550679142.

The spelling of 76741280 in words is "seventy-six million, seven hundred forty-one thousand, two hundred eighty".