77082040 has 64 divisors (see below), whose sum is σ = 201504960. Its totient is φ = 25989120.

The previous prime is 77082013. The next prime is 77082067. The reversal of 77082040 is 4028077.

It is an interprime number because it is at equal distance from previous prime (77082013) and next prime (77082067).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 14824 + ... + 19336.

It is an arithmetic number, because the mean of its divisors is an integer number (3148515).

Almost surely, 2^77082040 is an apocalyptic number.

77082040 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 77082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100752480).

77082040 is an abundant number, since it is smaller than the sum of its proper divisors (124422920).

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

77082040 is a wasteful number, since it uses less digits than its factorization.

77082040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 77082040 is about 8779.6378057412. The cubic root of 77082040 is about 425.5831257325.

The spelling of 77082040 in words is "seventy-seven million, eighty-two thousand, forty".