74777389400 has 192 divisors, whose sum is σ = 201945408000. Its totient is φ = 25220367360.

The previous prime is 74777389391. The next prime is 74777389409. The reversal of 74777389400 is 498377747.

It is an interprime number because it is at equal distance from previous prime (74777389391) and next prime (74777389409).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74777389409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53449901 + ... + 53451299.

It is an arithmetic number, because the mean of its divisors is an integer number (1051799000).

Almost surely, 2^74777389400 is an apocalyptic number.

74777389400 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 74777389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100972704000).

74777389400 is an abundant number, since it is smaller than the sum of its proper divisors (127168018600).

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

74777389400 is a wasteful number, since it uses less digits than its factorization.

74777389400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 56.

The spelling of 74777389400 in words is "seventy-four billion, seven hundred seventy-seven million, three hundred eighty-nine thousand, four hundred".