76520640 has 224 divisors, whose sum is σ = 283829760. Its totient is φ = 17104896.

The previous prime is 76520629. The next prime is 76520641. The reversal of 76520640 is 4602567.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 76520598 and 76520607.

It is not an unprimeable number, because it can be changed into a prime (76520641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396384 + ... + 396576.

Almost surely, 2^76520640 is an apocalyptic number.

76520640 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 76520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141914880).

76520640 is an abundant number, since it is smaller than the sum of its proper divisors (207309120).

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

76520640 is a wasteful number, since it uses less digits than its factorization.

76520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 76520640 is about 8747.6076729584. The cubic root of 76520640 is about 424.5474120914.

The spelling of 76520640 in words is "seventy-six million, five hundred twenty thousand, six hundred forty".