76757040 has 120 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 19261440.

The previous prime is 76757033. The next prime is 76757047. The reversal of 76757040 is 4075767.

It is an interprime number because it is at equal distance from previous prime (76757033) and next prime (76757047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76756986 and 76757004.

It is not an unprimeable number, because it can be changed into a prime (76757047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9105 + ... + 15375.

Almost surely, 2^76757040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

76757040 is an abundant number, since it is smaller than the sum of its proper divisors (196225488).

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

76757040 is a wasteful number, since it uses less digits than its factorization.

76757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 76757040 is about 8761.1095187767. The cubic root of 76757040 is about 424.9841562721.

The spelling of 76757040 in words is "seventy-six million, seven hundred fifty-seven thousand, forty".