76470100 has 72 divisors (see below), whose sum is σ = 196237440. Its totient is φ = 25307520.

The previous prime is 76470091. The next prime is 76470109. The reversal of 76470100 is 107467.

It is an interprime number because it is at equal distance from previous prime (76470091) and next prime (76470109).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76470109) 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, 18417 + ... + 22183.

It is an arithmetic number, because the mean of its divisors is an integer number (2725520).

Almost surely, 2^76470100 is an apocalyptic number.

76470100 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 76470100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98118720).

76470100 is an abundant number, since it is smaller than the sum of its proper divisors (119767340).

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

76470100 is a wasteful number, since it uses less digits than its factorization.

76470100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 76470100 is about 8744.7184059866. The cubic root of 76470100 is about 424.4539237995.

Adding to 76470100 its reverse (107467), we get a palindrome (76577567).

The spelling of 76470100 in words is "seventy-six million, four hundred seventy thousand, one hundred".