76677840 has 100 divisors (see below), whose sum is σ = 266336004. Its totient is φ = 20445696.

The previous prime is 76677833. The next prime is 76677847. The reversal of 76677840 is 4877667.

It is an interprime number because it is at equal distance from previous prime (76677833) and next prime (76677847).

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 23270976 = 7308^2 + 4824^2 .

It is a super-2 number, since 2×76677840² = 11758982294131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76677847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564 + ... + 12396.

Almost surely, 2^76677840 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 76677840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133168002).

76677840 is an abundant number, since it is smaller than the sum of its proper divisors (189658164).

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

76677840 is a wasteful number, since it uses less digits than its factorization.

76677840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11858 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 76677840 is about 8756.5883767595. The cubic root of 76677840 is about 424.8379359016.

It can be divided in two parts, 766 and 77840, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 76677840 in words is "seventy-six million, six hundred seventy-seven thousand, eight hundred forty".