76079640 has 128 divisors (see below), whose sum is σ = 280949760. Its totient is φ = 16049664.

The previous prime is 76079621. The next prime is 76079657. The reversal of 76079640 is 4697067.

It is a super-2 number, since 2×76079640² = 11576223245059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7437 + ... + 14403.

It is an arithmetic number, because the mean of its divisors is an integer number (2194920).

Almost surely, 2^76079640 is an apocalyptic number.

76079640 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 76079640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140474880).

76079640 is an abundant number, since it is smaller than the sum of its proper divisors (204870120).

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

76079640 is a wasteful number, since it uses less digits than its factorization.

76079640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 76079640 is about 8722.3643583606. The cubic root of 76079640 is about 423.7302633493.

The spelling of 76079640 in words is "seventy-six million, seventy-nine thousand, six hundred forty".