76007680 has 144 divisors (see below), whose sum is σ = 220752000. Its totient is φ = 24477696.

The previous prime is 76007677. The next prime is 76007707. The reversal of 76007680 is 8670067.

76007680 = T₂₆₈₀ + T₂₆₈₁ + ... + T₂₇₀₀.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 152071 + ... + 152569.

It is an arithmetic number, because the mean of its divisors is an integer number (1533000).

Almost surely, 2^76007680 is an apocalyptic number.

76007680 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 76007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).

76007680 is an abundant number, since it is smaller than the sum of its proper divisors (144744320).

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

76007680 is a wasteful number, since it uses less digits than its factorization.

76007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 76007680 is about 8718.2383541631. The cubic root of 76007680 is about 423.5966259822.

The spelling of 76007680 in words is "seventy-six million, seven thousand, six hundred eighty".