76240920 has 256 divisors, whose sum is σ = 292377600. Its totient is φ = 15482880.

The previous prime is 76240919. The next prime is 76240943. The reversal of 76240920 is 2904267.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271180 + ... + 271460.

It is an arithmetic number, because the mean of its divisors is an integer number (1142100).

Almost surely, 2^76240920 is an apocalyptic number.

76240920 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 76240920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146188800).

76240920 is an abundant number, since it is smaller than the sum of its proper divisors (216136680).

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

76240920 is a wasteful number, since it uses less digits than its factorization.

76240920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 76240920 is about 8731.6046635198. The cubic root of 76240920 is about 424.0294716669.

The spelling of 76240920 in words is "seventy-six million, two hundred forty thousand, nine hundred twenty".