76674780 has 288 divisors, whose sum is σ = 297443328. Its totient is φ = 15552000.

The previous prime is 76674779. The next prime is 76674781. The reversal of 76674780 is 8747667.

It is an interprime number because it is at equal distance from previous prime (76674779) and next prime (76674781).

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 (76674781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507705 + ... + 507855.

Almost surely, 2^76674780 is an apocalyptic number.

76674780 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 76674780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721664).

76674780 is an abundant number, since it is smaller than the sum of its proper divisors (220768548).

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

76674780 is a wasteful number, since it uses less digits than its factorization.

76674780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

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

The square root of 76674780 is about 8756.4136494343. The cubic root of 76674780 is about 424.8322844584.

The spelling of 76674780 in words is "seventy-six million, six hundred seventy-four thousand, seven hundred eighty".